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Finding the Third Proportional to 41,544 and 90,864

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Solution

The third proportional to 41,544 and 90,864 is: 198,735.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,544 : 90,864 = 90,864 : x
  2. Step 2: Convert to fraction form
    41,544/90,864 = 90,864/x
  3. Step 3: Cross multiply
    41,544x = 90,864 × 90,864
  4. Step 4: Simplify right side
    41,544x = 8,256,266,496
  5. Step 5: Solve for x
    x = 8,256,266,496/41,544
  6. Step 6: Final answer
    x = 198,735.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.