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Finding the Third Proportional to 116,118 and 173,727

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Solution

The third proportional to 116,118 and 173,727 is: 259,917.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,118 : 173,727 = 173,727 : x
  2. Step 2: Convert to fraction form
    116,118/173,727 = 173,727/x
  3. Step 3: Cross multiply
    116,118x = 173,727 × 173,727
  4. Step 4: Simplify right side
    116,118x = 30,181,070,529
  5. Step 5: Solve for x
    x = 30,181,070,529/116,118
  6. Step 6: Final answer
    x = 259,917.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.