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Finding the Third Proportional to 91.97 and 122.77

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Solution

The third proportional to 91.97 and 122.77 is: 163.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.97 : 122.77 = 122.77 : x
  2. Step 2: Convert to fraction form
    91.97/122.77 = 122.77/x
  3. Step 3: Cross multiply
    91.97x = 122.77 × 122.77
  4. Step 4: Simplify right side
    91.97x = 15,071.40
  5. Step 5: Solve for x
    x = 15,071.40/91.97
  6. Step 6: Final answer
    x = 163.88

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.