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Finding the Third Proportional to 73,979 and 162,691

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Solution

The third proportional to 73,979 and 162,691 is: 357,782.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,979 : 162,691 = 162,691 : x
  2. Step 2: Convert to fraction form
    73,979/162,691 = 162,691/x
  3. Step 3: Cross multiply
    73,979x = 162,691 × 162,691
  4. Step 4: Simplify right side
    73,979x = 26,468,361,481
  5. Step 5: Solve for x
    x = 26,468,361,481/73,979
  6. Step 6: Final answer
    x = 357,782.09

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.