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Finding the Third Proportional to 69.47 and 108.42

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Solution

The third proportional to 69.47 and 108.42 is: 169.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.47 : 108.42 = 108.42 : x
  2. Step 2: Convert to fraction form
    69.47/108.42 = 108.42/x
  3. Step 3: Cross multiply
    69.47x = 108.42 × 108.42
  4. Step 4: Simplify right side
    69.47x = 11,754.59
  5. Step 5: Solve for x
    x = 11,754.59/69.47
  6. Step 6: Final answer
    x = 169.20

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.