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Finding the Third Proportional to 54,518 and 118,744

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Solution

The third proportional to 54,518 and 118,744 is: 258,632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,518 : 118,744 = 118,744 : x
  2. Step 2: Convert to fraction form
    54,518/118,744 = 118,744/x
  3. Step 3: Cross multiply
    54,518x = 118,744 × 118,744
  4. Step 4: Simplify right side
    54,518x = 14,100,137,536
  5. Step 5: Solve for x
    x = 14,100,137,536/54,518
  6. Step 6: Final answer
    x = 258,632.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.