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Finding the Third Proportional to 81.97 and 150.44

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Solution

The third proportional to 81.97 and 150.44 is: 276.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.97 : 150.44 = 150.44 : x
  2. Step 2: Convert to fraction form
    81.97/150.44 = 150.44/x
  3. Step 3: Cross multiply
    81.97x = 150.44 × 150.44
  4. Step 4: Simplify right side
    81.97x = 22,631.44
  5. Step 5: Solve for x
    x = 22,631.44/81.97
  6. Step 6: Final answer
    x = 276.10

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.