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Finding the Third Proportional to 71,542.13 and 155,385.56

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Solution

The third proportional to 71,542.13 and 155,385.56 is: 337,488.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,542.13 : 155,385.56 = 155,385.56 : x
  2. Step 2: Convert to fraction form
    71,542.13/155,385.56 = 155,385.56/x
  3. Step 3: Cross multiply
    71,542.13x = 155,385.56 × 155,385.56
  4. Step 4: Simplify right side
    71,542.13x = 24,144,673,033.44
  5. Step 5: Solve for x
    x = 24,144,673,033.44/71,542.13
  6. Step 6: Final answer
    x = 337,488.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.