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Finding the Third Proportional to 87,782 and 194,544

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Solution

The third proportional to 87,782 and 194,544 is: 431,151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,782 : 194,544 = 194,544 : x
  2. Step 2: Convert to fraction form
    87,782/194,544 = 194,544/x
  3. Step 3: Cross multiply
    87,782x = 194,544 × 194,544
  4. Step 4: Simplify right side
    87,782x = 37,847,367,936
  5. Step 5: Solve for x
    x = 37,847,367,936/87,782
  6. Step 6: Final answer
    x = 431,151.81

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.