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Finding the Third Proportional to 67.38 and 104.13

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Solution

The third proportional to 67.38 and 104.13 is: 160.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.38 : 104.13 = 104.13 : x
  2. Step 2: Convert to fraction form
    67.38/104.13 = 104.13/x
  3. Step 3: Cross multiply
    67.38x = 104.13 × 104.13
  4. Step 4: Simplify right side
    67.38x = 10,842.02
  5. Step 5: Solve for x
    x = 10,842.02/67.38
  6. Step 6: Final answer
    x = 160.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.