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Finding the Third Proportional to 39,208 and 80,496

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Solution

The third proportional to 39,208 and 80,496 is: 165,262.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,208 : 80,496 = 80,496 : x
  2. Step 2: Convert to fraction form
    39,208/80,496 = 80,496/x
  3. Step 3: Cross multiply
    39,208x = 80,496 × 80,496
  4. Step 4: Simplify right side
    39,208x = 6,479,606,016
  5. Step 5: Solve for x
    x = 6,479,606,016/39,208
  6. Step 6: Final answer
    x = 165,262.34

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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.