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Finding the Third Proportional to 106.38 and 163.69

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Solution

The third proportional to 106.38 and 163.69 is: 251.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.38 : 163.69 = 163.69 : x
  2. Step 2: Convert to fraction form
    106.38/163.69 = 163.69/x
  3. Step 3: Cross multiply
    106.38x = 163.69 × 163.69
  4. Step 4: Simplify right side
    106.38x = 26,793.60
  5. Step 5: Solve for x
    x = 26,793.60/106.38
  6. Step 6: Final answer
    x = 251.88

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.