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Finding the Third Proportional to 118.92 and 168.89

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Solution

The third proportional to 118.92 and 168.89 is: 239.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.92 : 168.89 = 168.89 : x
  2. Step 2: Convert to fraction form
    118.92/168.89 = 168.89/x
  3. Step 3: Cross multiply
    118.92x = 168.89 × 168.89
  4. Step 4: Simplify right side
    118.92x = 28,524.04
  5. Step 5: Solve for x
    x = 28,524.04/118.92
  6. Step 6: Final answer
    x = 239.86

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.