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Finding the Third Proportional to 41,960 and 90,832

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Solution

The third proportional to 41,960 and 90,832 is: 196,626.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,960 : 90,832 = 90,832 : x
  2. Step 2: Convert to fraction form
    41,960/90,832 = 90,832/x
  3. Step 3: Cross multiply
    41,960x = 90,832 × 90,832
  4. Step 4: Simplify right side
    41,960x = 8,250,452,224
  5. Step 5: Solve for x
    x = 8,250,452,224/41,960
  6. Step 6: Final answer
    x = 196,626.60

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.