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Finding the Third Proportional to 54,993 and 119,859

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Solution

The third proportional to 54,993 and 119,859 is: 261,236.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,993 : 119,859 = 119,859 : x
  2. Step 2: Convert to fraction form
    54,993/119,859 = 119,859/x
  3. Step 3: Cross multiply
    54,993x = 119,859 × 119,859
  4. Step 4: Simplify right side
    54,993x = 14,366,179,881
  5. Step 5: Solve for x
    x = 14,366,179,881/54,993
  6. Step 6: Final answer
    x = 261,236.52

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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.