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Finding the Third Proportional to 54,864 and 120,744

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Solution

The third proportional to 54,864 and 120,744 is: 265,731.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,864 : 120,744 = 120,744 : x
  2. Step 2: Convert to fraction form
    54,864/120,744 = 120,744/x
  3. Step 3: Cross multiply
    54,864x = 120,744 × 120,744
  4. Step 4: Simplify right side
    54,864x = 14,579,113,536
  5. Step 5: Solve for x
    x = 14,579,113,536/54,864
  6. Step 6: Final answer
    x = 265,731.87

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.