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Finding the Third Proportional to 73,982 and 161,782

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Solution

The third proportional to 73,982 and 161,782 is: 353,780.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,982 : 161,782 = 161,782 : x
  2. Step 2: Convert to fraction form
    73,982/161,782 = 161,782/x
  3. Step 3: Cross multiply
    73,982x = 161,782 × 161,782
  4. Step 4: Simplify right side
    73,982x = 26,173,415,524
  5. Step 5: Solve for x
    x = 26,173,415,524/73,982
  6. Step 6: Final answer
    x = 353,780.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.