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Finding the Third Proportional to 59.39 and 91.92

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Solution

The third proportional to 59.39 and 91.92 is: 142.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.39 : 91.92 = 91.92 : x
  2. Step 2: Convert to fraction form
    59.39/91.92 = 91.92/x
  3. Step 3: Cross multiply
    59.39x = 91.92 × 91.92
  4. Step 4: Simplify right side
    59.39x = 8,449.63
  5. Step 5: Solve for x
    x = 8,449.63/59.39
  6. Step 6: Final answer
    x = 142.27

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.