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Finding the Third Proportional to 41,642 and 86,524

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Solution

The third proportional to 41,642 and 86,524 is: 179,780.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,642 : 86,524 = 86,524 : x
  2. Step 2: Convert to fraction form
    41,642/86,524 = 86,524/x
  3. Step 3: Cross multiply
    41,642x = 86,524 × 86,524
  4. Step 4: Simplify right side
    41,642x = 7,486,402,576
  5. Step 5: Solve for x
    x = 7,486,402,576/41,642
  6. Step 6: Final answer
    x = 179,780.09

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.