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Finding the Third Proportional to 120,193 and 186,843

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Solution

The third proportional to 120,193 and 186,843 is: 290,452.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,193 : 186,843 = 186,843 : x
  2. Step 2: Convert to fraction form
    120,193/186,843 = 186,843/x
  3. Step 3: Cross multiply
    120,193x = 186,843 × 186,843
  4. Step 4: Simplify right side
    120,193x = 34,910,306,649
  5. Step 5: Solve for x
    x = 34,910,306,649/120,193
  6. Step 6: Final answer
    x = 290,452.08

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.