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Finding the Third Proportional to 41,805 and 89,279

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Solution

The third proportional to 41,805 and 89,279 is: 190,664.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,805 : 89,279 = 89,279 : x
  2. Step 2: Convert to fraction form
    41,805/89,279 = 89,279/x
  3. Step 3: Cross multiply
    41,805x = 89,279 × 89,279
  4. Step 4: Simplify right side
    41,805x = 7,970,739,841
  5. Step 5: Solve for x
    x = 7,970,739,841/41,805
  6. Step 6: Final answer
    x = 190,664.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.