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Finding the Third Proportional to 124.97 and 141.42

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Solution

The third proportional to 124.97 and 141.42 is: 160.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.97 : 141.42 = 141.42 : x
  2. Step 2: Convert to fraction form
    124.97/141.42 = 141.42/x
  3. Step 3: Cross multiply
    124.97x = 141.42 × 141.42
  4. Step 4: Simplify right side
    124.97x = 20,000.15
  5. Step 5: Solve for x
    x = 20,000.15/124.97
  6. Step 6: Final answer
    x = 160.04

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.