Yeah, my wording wasn't the best. It's insanely powerful, (the transmitter leaving the antenna aside) in this sense:
Low earth orbit satellites are much closer to the Earth, so transmitters need less power to cover the range with high quality signal. For example, NOAA satellites are able to send images of the earth at 5W that you can reliably receive with a dipole and a $5 amplifier.
Geostationary satellites are significantly higher, ~35000 Km, but stationary (duh), so they benefit from high gain, very directional antennas both on the satellite and the ground. They send high data and symbol rate signals for HD video of hundreds of channels, and each transponder sits at 15 to 150W (depending on many factors: band, area to cover, etc). They tend to have multiple transponders, though.
GPS satellites sit in the middle, pretty high up, so there's a ton of free space loss, in a non geostationary orbit, so high gain antennas are useless, plus receivers are supposed to be portable, hence there's no room for helix/axial antennas or arrays on the ground. So for this reason they have to ramp up the power to geostationary, TV broadcast levels, only to push a very, very slow data rate (50 bits/s).