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The one from 1900 isn't very current. The most current one is from 2012. The first one shows that 82% of people born in Texas were still in Texas in 1900 (i.e. they were born before 1900 and when the year 1900 rolled around, they were still in Texas). The last one shows that 61% of the people born in Texas were still in Texas in 2012. (i.e. they were born before 2012 and when the year 2012 rolled around, they were still in Texas).
The figure is no longer 82%. It was 82% in the year 1900.
edit : Maybe I'm misunderstanding what you mean by "first chart", and the charts on the page won't load for me today, so I can't go back and look at it.
Here I drew you a picture since apparently you dont have the ability to look at a simple chart yourself
the number was 91% in 1900 and it went down to 82% by 2012
You were looking at the 2nd chart where it shows where people who are now in Texas were born