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Finding the Third Proportional to 41,772 and 90,469

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Solution

The third proportional to 41,772 and 90,469 is: 195,936.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,772 : 90,469 = 90,469 : x
  2. Step 2: Convert to fraction form
    41,772/90,469 = 90,469/x
  3. Step 3: Cross multiply
    41,772x = 90,469 × 90,469
  4. Step 4: Simplify right side
    41,772x = 8,184,639,961
  5. Step 5: Solve for x
    x = 8,184,639,961/41,772
  6. Step 6: Final answer
    x = 195,936.03

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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.