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Finding the Third Proportional to 87,122 and 190,843

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Solution

The third proportional to 87,122 and 190,843 is: 418,046.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,122 : 190,843 = 190,843 : x
  2. Step 2: Convert to fraction form
    87,122/190,843 = 190,843/x
  3. Step 3: Cross multiply
    87,122x = 190,843 × 190,843
  4. Step 4: Simplify right side
    87,122x = 36,421,050,649
  5. Step 5: Solve for x
    x = 36,421,050,649/87,122
  6. Step 6: Final answer
    x = 418,046.54

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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.