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Finding the Third Proportional to 41,842 and 91,976

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Solution

The third proportional to 41,842 and 91,976 is: 202,179.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,842 : 91,976 = 91,976 : x
  2. Step 2: Convert to fraction form
    41,842/91,976 = 91,976/x
  3. Step 3: Cross multiply
    41,842x = 91,976 × 91,976
  4. Step 4: Simplify right side
    41,842x = 8,459,584,576
  5. Step 5: Solve for x
    x = 8,459,584,576/41,842
  6. Step 6: Final answer
    x = 202,179.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.