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Finding the Third Proportional to 41,661 and 90,432

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Solution

The third proportional to 41,661 and 90,432 is: 196,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,661 : 90,432 = 90,432 : x
  2. Step 2: Convert to fraction form
    41,661/90,432 = 90,432/x
  3. Step 3: Cross multiply
    41,661x = 90,432 × 90,432
  4. Step 4: Simplify right side
    41,661x = 8,177,946,624
  5. Step 5: Solve for x
    x = 8,177,946,624/41,661
  6. Step 6: Final answer
    x = 196,297.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.