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Finding the Third Proportional to 124.75 and 163.38

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Solution

The third proportional to 124.75 and 163.38 is: 213.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.75 : 163.38 = 163.38 : x
  2. Step 2: Convert to fraction form
    124.75/163.38 = 163.38/x
  3. Step 3: Cross multiply
    124.75x = 163.38 × 163.38
  4. Step 4: Simplify right side
    124.75x = 26,691.39
  5. Step 5: Solve for x
    x = 26,691.39/124.75
  6. Step 6: Final answer
    x = 213.96

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.