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Finding the Third Proportional to 81,832 and 126,366

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Solution

The third proportional to 81,832 and 126,366 is: 195,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,832 : 126,366 = 126,366 : x
  2. Step 2: Convert to fraction form
    81,832/126,366 = 126,366/x
  3. Step 3: Cross multiply
    81,832x = 126,366 × 126,366
  4. Step 4: Simplify right side
    81,832x = 15,968,365,956
  5. Step 5: Solve for x
    x = 15,968,365,956/81,832
  6. Step 6: Final answer
    x = 195,135.96

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.