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Finding the Third Proportional to 103.92 and 151.31

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Solution

The third proportional to 103.92 and 151.31 is: 220.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.92 : 151.31 = 151.31 : x
  2. Step 2: Convert to fraction form
    103.92/151.31 = 151.31/x
  3. Step 3: Cross multiply
    103.92x = 151.31 × 151.31
  4. Step 4: Simplify right side
    103.92x = 22,895.47
  5. Step 5: Solve for x
    x = 22,895.47/103.92
  6. Step 6: Final answer
    x = 220.31

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.