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Finding the Third Proportional to 41,172 and 83,802

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Solution

The third proportional to 41,172 and 83,802 is: 170,571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,172 : 83,802 = 83,802 : x
  2. Step 2: Convert to fraction form
    41,172/83,802 = 83,802/x
  3. Step 3: Cross multiply
    41,172x = 83,802 × 83,802
  4. Step 4: Simplify right side
    41,172x = 7,022,775,204
  5. Step 5: Solve for x
    x = 7,022,775,204/41,172
  6. Step 6: Final answer
    x = 170,571.63

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.