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Finding the Third Proportional to 54,249.75 and 112,650.75

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Solution

The third proportional to 54,249.75 and 112,650.75 is: 233,921.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,249.75 : 112,650.75 = 112,650.75 : x
  2. Step 2: Convert to fraction form
    54,249.75/112,650.75 = 112,650.75/x
  3. Step 3: Cross multiply
    54,249.75x = 112,650.75 × 112,650.75
  4. Step 4: Simplify right side
    54,249.75x = 12,690,191,475.56
  5. Step 5: Solve for x
    x = 12,690,191,475.56/54,249.75
  6. Step 6: Final answer
    x = 233,921.66

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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.