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Finding the Third Proportional to 92.11 and 125.23

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Solution

The third proportional to 92.11 and 125.23 is: 170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.11 : 125.23 = 125.23 : x
  2. Step 2: Convert to fraction form
    92.11/125.23 = 125.23/x
  3. Step 3: Cross multiply
    92.11x = 125.23 × 125.23
  4. Step 4: Simplify right side
    92.11x = 15,681.69
  5. Step 5: Solve for x
    x = 15,681.69/92.11
  6. Step 6: Final answer
    x = 170.25

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.