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Finding the Third Proportional to 83,982 and 182,725

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Solution

The third proportional to 83,982 and 182,725 is: 397,566.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,982 : 182,725 = 182,725 : x
  2. Step 2: Convert to fraction form
    83,982/182,725 = 182,725/x
  3. Step 3: Cross multiply
    83,982x = 182,725 × 182,725
  4. Step 4: Simplify right side
    83,982x = 33,388,425,625
  5. Step 5: Solve for x
    x = 33,388,425,625/83,982
  6. Step 6: Final answer
    x = 397,566.45

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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.