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Finding the Third Proportional to 54,844 and 119,759

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Solution

The third proportional to 54,844 and 119,759 is: 261,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,844 : 119,759 = 119,759 : x
  2. Step 2: Convert to fraction form
    54,844/119,759 = 119,759/x
  3. Step 3: Cross multiply
    54,844x = 119,759 × 119,759
  4. Step 4: Simplify right side
    54,844x = 14,342,218,081
  5. Step 5: Solve for x
    x = 14,342,218,081/54,844
  6. Step 6: Final answer
    x = 261,509.34

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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.