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Finding the Third Proportional to 81.73 and 126.74

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Solution

The third proportional to 81.73 and 126.74 is: 196.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.73 : 126.74 = 126.74 : x
  2. Step 2: Convert to fraction form
    81.73/126.74 = 126.74/x
  3. Step 3: Cross multiply
    81.73x = 126.74 × 126.74
  4. Step 4: Simplify right side
    81.73x = 16,062.59
  5. Step 5: Solve for x
    x = 16,062.59/81.73
  6. Step 6: Final answer
    x = 196.54

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Why These Related Problems?

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