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Finding the Third Proportional to 83,744 and 182,032

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Solution

The third proportional to 83,744 and 182,032 is: 395,677.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,744 : 182,032 = 182,032 : x
  2. Step 2: Convert to fraction form
    83,744/182,032 = 182,032/x
  3. Step 3: Cross multiply
    83,744x = 182,032 × 182,032
  4. Step 4: Simplify right side
    83,744x = 33,135,649,024
  5. Step 5: Solve for x
    x = 33,135,649,024/83,744
  6. Step 6: Final answer
    x = 395,677.89

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.