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Finding the Third Proportional to 52,694 and 93,691

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Solution

The third proportional to 52,694 and 93,691 is: 166,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,694 : 93,691 = 93,691 : x
  2. Step 2: Convert to fraction form
    52,694/93,691 = 93,691/x
  3. Step 3: Cross multiply
    52,694x = 93,691 × 93,691
  4. Step 4: Simplify right side
    52,694x = 8,778,003,481
  5. Step 5: Solve for x
    x = 8,778,003,481/52,694
  6. Step 6: Final answer
    x = 166,584.50

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.