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Finding the Third Proportional to 67.13 and 106.69

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Solution

The third proportional to 67.13 and 106.69 is: 169.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67.13 : 106.69 = 106.69 : x
  2. Step 2: Convert to fraction form
    67.13/106.69 = 106.69/x
  3. Step 3: Cross multiply
    67.13x = 106.69 × 106.69
  4. Step 4: Simplify right side
    67.13x = 11,382.22
  5. Step 5: Solve for x
    x = 11,382.22/67.13
  6. Step 6: Final answer
    x = 169.57

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.