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Finding the Third Proportional to 80,960 and 165,932

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Solution

The third proportional to 80,960 and 165,932 is: 340,086.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,960 : 165,932 = 165,932 : x
  2. Step 2: Convert to fraction form
    80,960/165,932 = 165,932/x
  3. Step 3: Cross multiply
    80,960x = 165,932 × 165,932
  4. Step 4: Simplify right side
    80,960x = 27,533,428,624
  5. Step 5: Solve for x
    x = 27,533,428,624/80,960
  6. Step 6: Final answer
    x = 340,086.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.