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Finding the Third Proportional to 57,477.09 and 87,457.22

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Solution

The third proportional to 57,477.09 and 87,457.22 is: 133,075.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,477.09 : 87,457.22 = 87,457.22 : x
  2. Step 2: Convert to fraction form
    57,477.09/87,457.22 = 87,457.22/x
  3. Step 3: Cross multiply
    57,477.09x = 87,457.22 × 87,457.22
  4. Step 4: Simplify right side
    57,477.09x = 7,648,765,111.49
  5. Step 5: Solve for x
    x = 7,648,765,111.49/57,477.09
  6. Step 6: Final answer
    x = 133,075.01

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.