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Finding the Third Proportional to 38,104 and 82,568

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Solution

The third proportional to 38,104 and 82,568 is: 178,917.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,104 : 82,568 = 82,568 : x
  2. Step 2: Convert to fraction form
    38,104/82,568 = 82,568/x
  3. Step 3: Cross multiply
    38,104x = 82,568 × 82,568
  4. Step 4: Simplify right side
    38,104x = 6,817,474,624
  5. Step 5: Solve for x
    x = 6,817,474,624/38,104
  6. Step 6: Final answer
    x = 178,917.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.