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Finding the Third Proportional to 41,279 and 86,608

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Solution

The third proportional to 41,279 and 86,608 is: 181,713.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,279 : 86,608 = 86,608 : x
  2. Step 2: Convert to fraction form
    41,279/86,608 = 86,608/x
  3. Step 3: Cross multiply
    41,279x = 86,608 × 86,608
  4. Step 4: Simplify right side
    41,279x = 7,500,945,664
  5. Step 5: Solve for x
    x = 7,500,945,664/41,279
  6. Step 6: Final answer
    x = 181,713.36

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.