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Finding the Third Proportional to 124.66 and 173.71

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Solution

The third proportional to 124.66 and 173.71 is: 242.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.66 : 173.71 = 173.71 : x
  2. Step 2: Convert to fraction form
    124.66/173.71 = 173.71/x
  3. Step 3: Cross multiply
    124.66x = 173.71 × 173.71
  4. Step 4: Simplify right side
    124.66x = 30,174.13
  5. Step 5: Solve for x
    x = 30,174.13/124.66
  6. Step 6: Final answer
    x = 242.04

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.