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Finding the Third Proportional to 54,899 and 119,837

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Solution

The third proportional to 54,899 and 119,837 is: 261,587.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,899 : 119,837 = 119,837 : x
  2. Step 2: Convert to fraction form
    54,899/119,837 = 119,837/x
  3. Step 3: Cross multiply
    54,899x = 119,837 × 119,837
  4. Step 4: Simplify right side
    54,899x = 14,360,906,569
  5. Step 5: Solve for x
    x = 14,360,906,569/54,899
  6. Step 6: Final answer
    x = 261,587.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.