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Finding the Third Proportional to 61,942 and 131,876

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Solution

The third proportional to 61,942 and 131,876 is: 280,767.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,942 : 131,876 = 131,876 : x
  2. Step 2: Convert to fraction form
    61,942/131,876 = 131,876/x
  3. Step 3: Cross multiply
    61,942x = 131,876 × 131,876
  4. Step 4: Simplify right side
    61,942x = 17,391,279,376
  5. Step 5: Solve for x
    x = 17,391,279,376/61,942
  6. Step 6: Final answer
    x = 280,767.16

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.