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Finding the Third Proportional to 41,982 and 91,668

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Solution

The third proportional to 41,982 and 91,668 is: 200,157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,982 : 91,668 = 91,668 : x
  2. Step 2: Convert to fraction form
    41,982/91,668 = 91,668/x
  3. Step 3: Cross multiply
    41,982x = 91,668 × 91,668
  4. Step 4: Simplify right side
    41,982x = 8,403,022,224
  5. Step 5: Solve for x
    x = 8,403,022,224/41,982
  6. Step 6: Final answer
    x = 200,157.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.