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Finding the Third Proportional to 42,691 and 93,687

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Solution

The third proportional to 42,691 and 93,687 is: 205,599.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,691 : 93,687 = 93,687 : x
  2. Step 2: Convert to fraction form
    42,691/93,687 = 93,687/x
  3. Step 3: Cross multiply
    42,691x = 93,687 × 93,687
  4. Step 4: Simplify right side
    42,691x = 8,777,253,969
  5. Step 5: Solve for x
    x = 8,777,253,969/42,691
  6. Step 6: Final answer
    x = 205,599.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.