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Finding the Third Proportional to 57,720 and 86,349

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Solution

The third proportional to 57,720 and 86,349 is: 129,177.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,720 : 86,349 = 86,349 : x
  2. Step 2: Convert to fraction form
    57,720/86,349 = 86,349/x
  3. Step 3: Cross multiply
    57,720x = 86,349 × 86,349
  4. Step 4: Simplify right side
    57,720x = 7,456,149,801
  5. Step 5: Solve for x
    x = 7,456,149,801/57,720
  6. Step 6: Final answer
    x = 129,177.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.