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Finding the Third Proportional to 54,872.75 and 120,214.75

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Solution

The third proportional to 54,872.75 and 120,214.75 is: 263,365.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,872.75 : 120,214.75 = 120,214.75 : x
  2. Step 2: Convert to fraction form
    54,872.75/120,214.75 = 120,214.75/x
  3. Step 3: Cross multiply
    54,872.75x = 120,214.75 × 120,214.75
  4. Step 4: Simplify right side
    54,872.75x = 14,451,586,117.56
  5. Step 5: Solve for x
    x = 14,451,586,117.56/54,872.75
  6. Step 6: Final answer
    x = 263,365.44

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.