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Finding the Third Proportional to 61,498 and 125,876

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Solution

The third proportional to 61,498 and 125,876 is: 257,646.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,498 : 125,876 = 125,876 : x
  2. Step 2: Convert to fraction form
    61,498/125,876 = 125,876/x
  3. Step 3: Cross multiply
    61,498x = 125,876 × 125,876
  4. Step 4: Simplify right side
    61,498x = 15,844,767,376
  5. Step 5: Solve for x
    x = 15,844,767,376/61,498
  6. Step 6: Final answer
    x = 257,646.87

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.