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Finding the Third Proportional to 50,616.75 and 120,891

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Solution

The third proportional to 50,616.75 and 120,891 is: 288,731.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,616.75 : 120,891 = 120,891 : x
  2. Step 2: Convert to fraction form
    50,616.75/120,891 = 120,891/x
  3. Step 3: Cross multiply
    50,616.75x = 120,891 × 120,891
  4. Step 4: Simplify right side
    50,616.75x = 14,614,633,881
  5. Step 5: Solve for x
    x = 14,614,633,881/50,616.75
  6. Step 6: Final answer
    x = 288,731.18

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.