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Finding the Third Proportional to 41,659 and 91,424

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Solution

The third proportional to 41,659 and 91,424 is: 200,637.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,659 : 91,424 = 91,424 : x
  2. Step 2: Convert to fraction form
    41,659/91,424 = 91,424/x
  3. Step 3: Cross multiply
    41,659x = 91,424 × 91,424
  4. Step 4: Simplify right side
    41,659x = 8,358,347,776
  5. Step 5: Solve for x
    x = 8,358,347,776/41,659
  6. Step 6: Final answer
    x = 200,637.26

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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.