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Finding the Third Proportional to 45,812 and 96,542

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Solution

The third proportional to 45,812 and 96,542 is: 203,447.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,812 : 96,542 = 96,542 : x
  2. Step 2: Convert to fraction form
    45,812/96,542 = 96,542/x
  3. Step 3: Cross multiply
    45,812x = 96,542 × 96,542
  4. Step 4: Simplify right side
    45,812x = 9,320,357,764
  5. Step 5: Solve for x
    x = 9,320,357,764/45,812
  6. Step 6: Final answer
    x = 203,447.96

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.