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Finding the Third Proportional to 31,498 and 68,531

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Solution

The third proportional to 31,498 and 68,531 is: 149,104.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,498 : 68,531 = 68,531 : x
  2. Step 2: Convert to fraction form
    31,498/68,531 = 68,531/x
  3. Step 3: Cross multiply
    31,498x = 68,531 × 68,531
  4. Step 4: Simplify right side
    31,498x = 4,696,497,961
  5. Step 5: Solve for x
    x = 4,696,497,961/31,498
  6. Step 6: Final answer
    x = 149,104.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.