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Finding the Third Proportional to 41,060 and 95,954

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Solution

The third proportional to 41,060 and 95,954 is: 224,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,060 : 95,954 = 95,954 : x
  2. Step 2: Convert to fraction form
    41,060/95,954 = 95,954/x
  3. Step 3: Cross multiply
    41,060x = 95,954 × 95,954
  4. Step 4: Simplify right side
    41,060x = 9,207,170,116
  5. Step 5: Solve for x
    x = 9,207,170,116/41,060
  6. Step 6: Final answer
    x = 224,236.97

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.