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Finding the Third Proportional to 72.14 and 94.92

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Solution

The third proportional to 72.14 and 94.92 is: 124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.14 : 94.92 = 94.92 : x
  2. Step 2: Convert to fraction form
    72.14/94.92 = 94.92/x
  3. Step 3: Cross multiply
    72.14x = 94.92 × 94.92
  4. Step 4: Simplify right side
    72.14x = 9,010.16
  5. Step 5: Solve for x
    x = 9,010.16/72.14
  6. Step 6: Final answer
    x = 124.90

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.