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Finding the Third Proportional to 57,202.13 and 86,542.13

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Solution

The third proportional to 57,202.13 and 86,542.13 is: 130,931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,202.13 : 86,542.13 = 86,542.13 : x
  2. Step 2: Convert to fraction form
    57,202.13/86,542.13 = 86,542.13/x
  3. Step 3: Cross multiply
    57,202.13x = 86,542.13 × 86,542.13
  4. Step 4: Simplify right side
    57,202.13x = 7,489,539,399.52
  5. Step 5: Solve for x
    x = 7,489,539,399.52/57,202.13
  6. Step 6: Final answer
    x = 130,931.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.