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Finding the Third Proportional to 106.97 and 151.92

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Solution

The third proportional to 106.97 and 151.92 is: 215.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    106.97 : 151.92 = 151.92 : x
  2. Step 2: Convert to fraction form
    106.97/151.92 = 151.92/x
  3. Step 3: Cross multiply
    106.97x = 151.92 × 151.92
  4. Step 4: Simplify right side
    106.97x = 23,080.26
  5. Step 5: Solve for x
    x = 23,080.26/106.97
  6. Step 6: Final answer
    x = 215.77

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.