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Finding the Third Proportional to 52,691 and 93,686

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Solution

The third proportional to 52,691 and 93,686 is: 166,576.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,691 : 93,686 = 93,686 : x
  2. Step 2: Convert to fraction form
    52,691/93,686 = 93,686/x
  3. Step 3: Cross multiply
    52,691x = 93,686 × 93,686
  4. Step 4: Simplify right side
    52,691x = 8,777,066,596
  5. Step 5: Solve for x
    x = 8,777,066,596/52,691
  6. Step 6: Final answer
    x = 166,576.20

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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.