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Finding the Third Proportional to 80,118 and 172,008

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Solution

The third proportional to 80,118 and 172,008 is: 369,289.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,118 : 172,008 = 172,008 : x
  2. Step 2: Convert to fraction form
    80,118/172,008 = 172,008/x
  3. Step 3: Cross multiply
    80,118x = 172,008 × 172,008
  4. Step 4: Simplify right side
    80,118x = 29,586,752,064
  5. Step 5: Solve for x
    x = 29,586,752,064/80,118
  6. Step 6: Final answer
    x = 369,289.70

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.