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Finding the Third Proportional to 83,281.50 and 181,171.13

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Solution

The third proportional to 83,281.50 and 181,171.13 is: 394,120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,281.50 : 181,171.13 = 181,171.13 : x
  2. Step 2: Convert to fraction form
    83,281.50/181,171.13 = 181,171.13/x
  3. Step 3: Cross multiply
    83,281.50x = 181,171.13 × 181,171.13
  4. Step 4: Simplify right side
    83,281.50x = 32,822,976,533.77
  5. Step 5: Solve for x
    x = 32,822,976,533.77/83,281.50
  6. Step 6: Final answer
    x = 394,120.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.