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Finding the Third Proportional to 83,786 and 182,626

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Solution

The third proportional to 83,786 and 182,626 is: 398,064.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,786 : 182,626 = 182,626 : x
  2. Step 2: Convert to fraction form
    83,786/182,626 = 182,626/x
  3. Step 3: Cross multiply
    83,786x = 182,626 × 182,626
  4. Step 4: Simplify right side
    83,786x = 33,352,255,876
  5. Step 5: Solve for x
    x = 33,352,255,876/83,786
  6. Step 6: Final answer
    x = 398,064.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.