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Finding the Third Proportional to 41,586 and 91,143

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Solution

The third proportional to 41,586 and 91,143 is: 199,755.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,586 : 91,143 = 91,143 : x
  2. Step 2: Convert to fraction form
    41,586/91,143 = 91,143/x
  3. Step 3: Cross multiply
    41,586x = 91,143 × 91,143
  4. Step 4: Simplify right side
    41,586x = 8,307,046,449
  5. Step 5: Solve for x
    x = 8,307,046,449/41,586
  6. Step 6: Final answer
    x = 199,755.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.