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Finding the Third Proportional to 86,544 and 191,874

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Solution

The third proportional to 86,544 and 191,874 is: 425,397.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,544 : 191,874 = 191,874 : x
  2. Step 2: Convert to fraction form
    86,544/191,874 = 191,874/x
  3. Step 3: Cross multiply
    86,544x = 191,874 × 191,874
  4. Step 4: Simplify right side
    86,544x = 36,815,631,876
  5. Step 5: Solve for x
    x = 36,815,631,876/86,544
  6. Step 6: Final answer
    x = 425,397.85

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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.