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Finding the Third Proportional to 38,960 and 83,104

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Solution

The third proportional to 38,960 and 83,104 is: 177,265.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,960 : 83,104 = 83,104 : x
  2. Step 2: Convert to fraction form
    38,960/83,104 = 83,104/x
  3. Step 3: Cross multiply
    38,960x = 83,104 × 83,104
  4. Step 4: Simplify right side
    38,960x = 6,906,274,816
  5. Step 5: Solve for x
    x = 6,906,274,816/38,960
  6. Step 6: Final answer
    x = 177,265.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.