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Finding the Third Proportional to 52,769 and 93,847

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Solution

The third proportional to 52,769 and 93,847 is: 166,902.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,769 : 93,847 = 93,847 : x
  2. Step 2: Convert to fraction form
    52,769/93,847 = 93,847/x
  3. Step 3: Cross multiply
    52,769x = 93,847 × 93,847
  4. Step 4: Simplify right side
    52,769x = 8,807,259,409
  5. Step 5: Solve for x
    x = 8,807,259,409/52,769
  6. Step 6: Final answer
    x = 166,902.15

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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.