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Finding the Third Proportional to 62.16 and 91.41

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Solution

The third proportional to 62.16 and 91.41 is: 134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.16 : 91.41 = 91.41 : x
  2. Step 2: Convert to fraction form
    62.16/91.41 = 91.41/x
  3. Step 3: Cross multiply
    62.16x = 91.41 × 91.41
  4. Step 4: Simplify right side
    62.16x = 8,355.10
  5. Step 5: Solve for x
    x = 8,355.10/62.16
  6. Step 6: Final answer
    x = 134.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.