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Finding the Third Proportional to 80,840 and 123,568

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Solution

The third proportional to 80,840 and 123,568 is: 188,879.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,840 : 123,568 = 123,568 : x
  2. Step 2: Convert to fraction form
    80,840/123,568 = 123,568/x
  3. Step 3: Cross multiply
    80,840x = 123,568 × 123,568
  4. Step 4: Simplify right side
    80,840x = 15,269,050,624
  5. Step 5: Solve for x
    x = 15,269,050,624/80,840
  6. Step 6: Final answer
    x = 188,879.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.