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76,134 $\boxed{\phantom{12345}}$ 76,079

On comparing 76,134 and 76,079,

Both numbers have 5 digits.

When the number of digits is the same, we start comparing from the leftmost digit (the highest place value).

Compare the digits in each place value, moving from left to right:

Tens Thousands Place (Leftmost digit):

In 76,134, the digit is 7.

In 76,079, the digit is 7.

Result: These digits are the same. We need to move to the next place value.

Thousands Place:

In 76,134, the digit is 6.

In 76,079, the digit is 6.

Result: These digits are also the same. Move to the next place value.

Hundreds Place:

In 76,134, the digit is 1.

In 76,079, the digit is 0.

Result: Here, 1 is greater than 0.

Hence, 76,134 > 76,079.