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Finding the Third Proportional to 78,463 and 100,744

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Solution

The third proportional to 78,463 and 100,744 is: 129,352.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,463 : 100,744 = 100,744 : x
  2. Step 2: Convert to fraction form
    78,463/100,744 = 100,744/x
  3. Step 3: Cross multiply
    78,463x = 100,744 × 100,744
  4. Step 4: Simplify right side
    78,463x = 10,149,353,536
  5. Step 5: Solve for x
    x = 10,149,353,536/78,463
  6. Step 6: Final answer
    x = 129,352.10

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.