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Finding the Third Proportional to 71,764 and 155,624

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Solution

The third proportional to 71,764 and 155,624 is: 337,478.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,764 : 155,624 = 155,624 : x
  2. Step 2: Convert to fraction form
    71,764/155,624 = 155,624/x
  3. Step 3: Cross multiply
    71,764x = 155,624 × 155,624
  4. Step 4: Simplify right side
    71,764x = 24,218,829,376
  5. Step 5: Solve for x
    x = 24,218,829,376/71,764
  6. Step 6: Final answer
    x = 337,478.81

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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.