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Finding the Third Proportional to 54,843 and 113,997

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Solution

The third proportional to 54,843 and 113,997 is: 236,954.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,843 : 113,997 = 113,997 : x
  2. Step 2: Convert to fraction form
    54,843/113,997 = 113,997/x
  3. Step 3: Cross multiply
    54,843x = 113,997 × 113,997
  4. Step 4: Simplify right side
    54,843x = 12,995,316,009
  5. Step 5: Solve for x
    x = 12,995,316,009/54,843
  6. Step 6: Final answer
    x = 236,954.87

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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.