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Finding the Third Proportional to 85,840 and 179,524

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Solution

The third proportional to 85,840 and 179,524 is: 375,452.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,840 : 179,524 = 179,524 : x
  2. Step 2: Convert to fraction form
    85,840/179,524 = 179,524/x
  3. Step 3: Cross multiply
    85,840x = 179,524 × 179,524
  4. Step 4: Simplify right side
    85,840x = 32,228,866,576
  5. Step 5: Solve for x
    x = 32,228,866,576/85,840
  6. Step 6: Final answer
    x = 375,452.78

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.