Re: Throw distances projectors $3000.-$6000
JR1881 is completely correct. I have first seen people make the high gain mistake a lot (even pro's), and the screen size for that budget is big.
Can you control the light in the room well? If you do a 16X9 screen I would stick to about 120 inches max. That is still a real wow factor, and if you want to spend a little more the JVC RS2 is coming out is better that the RS1. I have seen it a training class with JVC and ever since I am patiently waiting for my demo one for our theater.