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Finding the Third Proportional to 96.05 and 232.52

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Solution

The third proportional to 96.05 and 232.52 is: 562.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.05 : 232.52 = 232.52 : x
  2. Step 2: Convert to fraction form
    96.05/232.52 = 232.52/x
  3. Step 3: Cross multiply
    96.05x = 232.52 × 232.52
  4. Step 4: Simplify right side
    96.05x = 54,067.15
  5. Step 5: Solve for x
    x = 54,067.15/96.05
  6. Step 6: Final answer
    x = 562.92

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.