Batteries are rated in Ah for a discharge rate that will discharge them in 20 hours. For a 75 Ah battery you can draw 3.5 A for 20 hours (3.5 x 20 = 75) If you draw less current than C/20 (battery capacity in Ah divided by 20 hours) you will be able to draw more Ah from the battery. If you draw more current than C/20 you will get less Ah out of the battery. It is all explained in Peukerts Law
http://www.caravanandmotorhomebooks.com/articles/peukerts_law.htm - there is too much explaining for me to post the details here so go to the link and read it.
The rule of thumb when powering things from an inverter is to divide the stated AC power in watts by 10 - not 12. This takes into account the inefficiency of your inverter and power loss in the DC cables etc. In the case of the 75 W TV this gives a current draw of 7.5 A. This may look a little high but not when you consider you are using an inverter that is far too large, you may find the current to be in excess of 7.5 A. Then when you take Peukerts Law into the calculations you may have an equivalent of over 10 A drawn from your battery, hence what you are finding with your battery capacity is no surprise to me.
PeterD