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Finding the Third Proportional to 44,179 and 95,782

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Solution

The third proportional to 44,179 and 95,782 is: 207,659.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,179 : 95,782 = 95,782 : x
  2. Step 2: Convert to fraction form
    44,179/95,782 = 95,782/x
  3. Step 3: Cross multiply
    44,179x = 95,782 × 95,782
  4. Step 4: Simplify right side
    44,179x = 9,174,191,524
  5. Step 5: Solve for x
    x = 9,174,191,524/44,179
  6. Step 6: Final answer
    x = 207,659.56

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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.