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Finding the Third Proportional to 54,844 and 113,999

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Solution

The third proportional to 54,844 and 113,999 is: 236,958.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,844 : 113,999 = 113,999 : x
  2. Step 2: Convert to fraction form
    54,844/113,999 = 113,999/x
  3. Step 3: Cross multiply
    54,844x = 113,999 × 113,999
  4. Step 4: Simplify right side
    54,844x = 12,995,772,001
  5. Step 5: Solve for x
    x = 12,995,772,001/54,844
  6. Step 6: Final answer
    x = 236,958.87

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.