if your pump will only get you to 75psi, you need a better pump.

for 'at home' inflation, I highly recommend getting a decent floor pump... they are inexpensive, last a long time (I've had my specialized air tool 15+ years), and a decent one will pump a skinny-bike tire up to like 120 or 140psi in a matter of a few pumps, and a big fat tire to 60 or 70 or whatever in a few more.

the little shorty pumps they sell for emergency use are nearly useless. you need about a 2' (60cm) long stroke to get sufficient air compression.