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I am a square,

I am made in the year square of 43,

also, 106 years after my second child was born

also, in a year with the number 43.

People pay with me a square amount of dollars.

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Are the children you mention also square? – question_asker Jan 25 at 20:56
up vote 28 down vote accepted

You are

Franklin

I am a square, I am made in the year square of 43,

Franklin Square (of Franklin and Blackstone Squares in Boston) opened in 1849 (which is 43 squared)

also, 106 years after my second child was born

also, in a year with the number 43.

Benjamin Franklin's second child was born in 1743, 106 years before 1849

People pay with me a square amount of dollars.

Benjamin Franklin is on the 100 dollar bill, and 100 is 10 squared.

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And hes a "square", lol. – Daedric Jan 26 at 8:26
    
I had the Franklin square itself in mind, but whatever. – wythagoras Jan 26 at 9:03

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