it is high indeed, but not outside of the range of some lawn mower motors
there was once a much searched for cordless mower that inside came with a 5kW motor
for ~60% of the price for the motor sold seperately... though still expensive,
you got a discount on the motor, a useable controlelr and a battery for free...
unfortunately that company went out of business (too slim of a margin I guess

)
Anyways, 3kW electrical input power.. is indeed possible
although... that resistor you're using seems to be a little out of specs tbh..
30% difference... that's nowhere near a reliable reading, is it?
but then again, you have a 1Amp difference as a result, so even if we assume some ridicule misreadings (or rather inaccuracies made by various manufacturers [dmm, resistor etc..])
that motor should be able to draw about 100Amps peak at the very least (115 I'd guess).
(cold cranking amps let's say

)
Now the resistance will slightly increase when the coils get warmed up, and so on and so forth,
but 75% of that can surely still be drawn with a hot motor;
makes at least 80Amps (rather 90 Amps tbh)
and assuming you have a motor with ~80% efficiency which is luckily quite common these days;
you'll end up with 1700 Watt of mechanical power
(as you've seen I rounded down massively along the way; to get you the lowest to be expected value)
That is quite an impressive motor tbh, good enough for an adult's kart;
for sure good enough for a kid's kart (maybe even for a small two seater...)
Assuming you have no misreadings, that's exactly the motor you'd want IMHO.
a lot of power (thus the chance of running it nice and cool for some heavy abuse by some kids)
with enough margin to speed the kart up as the kids grow
(and the occasional fun tearing up the backyard by the adult man who build the kart at full power


)
So, next step determining the kind of controller needed.
brushed I assume (two wire motor)
>125Amps, and for sincere speed control, personally I'd dial towards a programmable controller,
that way you can determine the max rpms with a laptop (and a coded key later on)
safe for the kids, fun for dad
kelly has a 100Amp and a 200Amp controller, the first is too small so 200Amp it is:
http://kellycontroller.com/kds36200e200a24v-36v-mini-brushed-controller-p-276.html
that is the cheapest quality controller I know;
surely the best bang for the buck I know..
aaaand it's programmable
yes, it's way more expensive than those tiny pocket controllers for sure, but none of them can really handle 125Amps anyways AFAIK.. so there goes that
(quality 20A mosfet costs 7 bucks a piece, 200amps means ten of them.. 70 bucks in mosfets if you build your own controller... just saying)
Functional Artist has a kelly controller on one of his karts (he had on El Dingo ...it might be in El Moto now.. IDK tbh)
a bigger one, but not by much, ask him if he'd recommend it
'sid
PS I'm actually really happy about that mower's motor power.. please post a pic of it,
(the mower and the motor

)