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Finding the Third Proportional to 52,769 and 83,555

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Solution

The third proportional to 52,769 and 83,555 is: 132,301.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,769 : 83,555 = 83,555 : x
  2. Step 2: Convert to fraction form
    52,769/83,555 = 83,555/x
  3. Step 3: Cross multiply
    52,769x = 83,555 × 83,555
  4. Step 4: Simplify right side
    52,769x = 6,981,438,025
  5. Step 5: Solve for x
    x = 6,981,438,025/52,769
  6. Step 6: Final answer
    x = 132,301.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.