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Finding the Third Proportional to 41,933 and 91,642

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Solution

The third proportional to 41,933 and 91,642 is: 200,277.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,933 : 91,642 = 91,642 : x
  2. Step 2: Convert to fraction form
    41,933/91,642 = 91,642/x
  3. Step 3: Cross multiply
    41,933x = 91,642 × 91,642
  4. Step 4: Simplify right side
    41,933x = 8,398,256,164
  5. Step 5: Solve for x
    x = 8,398,256,164/41,933
  6. Step 6: Final answer
    x = 200,277.97

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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.