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Finding the Third Proportional to 71,550 and 155,402

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Solution

The third proportional to 71,550 and 155,402 is: 337,523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,550 : 155,402 = 155,402 : x
  2. Step 2: Convert to fraction form
    71,550/155,402 = 155,402/x
  3. Step 3: Cross multiply
    71,550x = 155,402 × 155,402
  4. Step 4: Simplify right side
    71,550x = 24,149,781,604
  5. Step 5: Solve for x
    x = 24,149,781,604/71,550
  6. Step 6: Final answer
    x = 337,523.15

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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.