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Finding the Third Proportional to 41,736 and 90,549

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Solution

The third proportional to 41,736 and 90,549 is: 196,452.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,736 : 90,549 = 90,549 : x
  2. Step 2: Convert to fraction form
    41,736/90,549 = 90,549/x
  3. Step 3: Cross multiply
    41,736x = 90,549 × 90,549
  4. Step 4: Simplify right side
    41,736x = 8,199,121,401
  5. Step 5: Solve for x
    x = 8,199,121,401/41,736
  6. Step 6: Final answer
    x = 196,452.02

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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.