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Finding the Third Proportional to 69 and 106.13

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Solution

The third proportional to 69 and 106.13 is: 163.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69 : 106.13 = 106.13 : x
  2. Step 2: Convert to fraction form
    69/106.13 = 106.13/x
  3. Step 3: Cross multiply
    69x = 106.13 × 106.13
  4. Step 4: Simplify right side
    69x = 11,262.52
  5. Step 5: Solve for x
    x = 11,262.52/69
  6. Step 6: Final answer
    x = 163.22

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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.