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Finding the Third Proportional to 41,732 and 90,544

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Solution

The third proportional to 41,732 and 90,544 is: 196,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,732 : 90,544 = 90,544 : x
  2. Step 2: Convert to fraction form
    41,732/90,544 = 90,544/x
  3. Step 3: Cross multiply
    41,732x = 90,544 × 90,544
  4. Step 4: Simplify right side
    41,732x = 8,198,215,936
  5. Step 5: Solve for x
    x = 8,198,215,936/41,732
  6. Step 6: Final answer
    x = 196,449.15

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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.