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Finding the Third Proportional to 62,498 and 96,493

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Solution

The third proportional to 62,498 and 96,493 is: 148,979.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,498 : 96,493 = 96,493 : x
  2. Step 2: Convert to fraction form
    62,498/96,493 = 96,493/x
  3. Step 3: Cross multiply
    62,498x = 96,493 × 96,493
  4. Step 4: Simplify right side
    62,498x = 9,310,899,049
  5. Step 5: Solve for x
    x = 9,310,899,049/62,498
  6. Step 6: Final answer
    x = 148,979.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.