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Finding the Third Proportional to 54,591 and 113,847

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Solution

The third proportional to 54,591 and 113,847 is: 237,422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,591 : 113,847 = 113,847 : x
  2. Step 2: Convert to fraction form
    54,591/113,847 = 113,847/x
  3. Step 3: Cross multiply
    54,591x = 113,847 × 113,847
  4. Step 4: Simplify right side
    54,591x = 12,961,139,409
  5. Step 5: Solve for x
    x = 12,961,139,409/54,591
  6. Step 6: Final answer
    x = 237,422.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.