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Finding the Third Proportional to 71,372 and 152,624

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Solution

The third proportional to 71,372 and 152,624 is: 326,375.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,372 : 152,624 = 152,624 : x
  2. Step 2: Convert to fraction form
    71,372/152,624 = 152,624/x
  3. Step 3: Cross multiply
    71,372x = 152,624 × 152,624
  4. Step 4: Simplify right side
    71,372x = 23,294,085,376
  5. Step 5: Solve for x
    x = 23,294,085,376/71,372
  6. Step 6: Final answer
    x = 326,375.68

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.