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Finding the Third Proportional to 91.44 and 125.69

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Solution

The third proportional to 91.44 and 125.69 is: 172.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.44 : 125.69 = 125.69 : x
  2. Step 2: Convert to fraction form
    91.44/125.69 = 125.69/x
  3. Step 3: Cross multiply
    91.44x = 125.69 × 125.69
  4. Step 4: Simplify right side
    91.44x = 15,797.35
  5. Step 5: Solve for x
    x = 15,797.35/91.44
  6. Step 6: Final answer
    x = 172.77

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.