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Finding the Third Proportional to 41,922 and 85,059

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Solution

The third proportional to 41,922 and 85,059 is: 172,583.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,922 : 85,059 = 85,059 : x
  2. Step 2: Convert to fraction form
    41,922/85,059 = 85,059/x
  3. Step 3: Cross multiply
    41,922x = 85,059 × 85,059
  4. Step 4: Simplify right side
    41,922x = 7,235,033,481
  5. Step 5: Solve for x
    x = 7,235,033,481/41,922
  6. Step 6: Final answer
    x = 172,583.21

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.