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Finding the Third Proportional to 55,881 and 120,339

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Solution

The third proportional to 55,881 and 120,339 is: 259,148.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,881 : 120,339 = 120,339 : x
  2. Step 2: Convert to fraction form
    55,881/120,339 = 120,339/x
  3. Step 3: Cross multiply
    55,881x = 120,339 × 120,339
  4. Step 4: Simplify right side
    55,881x = 14,481,474,921
  5. Step 5: Solve for x
    x = 14,481,474,921/55,881
  6. Step 6: Final answer
    x = 259,148.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.