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Finding the Third Proportional to 71,766 and 98,517

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Solution

The third proportional to 71,766 and 98,517 is: 135,239.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,766 : 98,517 = 98,517 : x
  2. Step 2: Convert to fraction form
    71,766/98,517 = 98,517/x
  3. Step 3: Cross multiply
    71,766x = 98,517 × 98,517
  4. Step 4: Simplify right side
    71,766x = 9,705,599,289
  5. Step 5: Solve for x
    x = 9,705,599,289/71,766
  6. Step 6: Final answer
    x = 135,239.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.