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Finding the Third Proportional to 55,846 and 120,439

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Solution

The third proportional to 55,846 and 120,439 is: 259,742.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,846 : 120,439 = 120,439 : x
  2. Step 2: Convert to fraction form
    55,846/120,439 = 120,439/x
  3. Step 3: Cross multiply
    55,846x = 120,439 × 120,439
  4. Step 4: Simplify right side
    55,846x = 14,505,552,721
  5. Step 5: Solve for x
    x = 14,505,552,721/55,846
  6. Step 6: Final answer
    x = 259,742.02

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.