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Finding the Third Proportional to 92.25 and 133.38

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Solution

The third proportional to 92.25 and 133.38 is: 192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.25 : 133.38 = 133.38 : x
  2. Step 2: Convert to fraction form
    92.25/133.38 = 133.38/x
  3. Step 3: Cross multiply
    92.25x = 133.38 × 133.38
  4. Step 4: Simplify right side
    92.25x = 17,790.97
  5. Step 5: Solve for x
    x = 17,790.97/92.25
  6. Step 6: Final answer
    x = 192.86

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.