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Finding the Third Proportional to 54,245.50 and 120,941

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Solution

The third proportional to 54,245.50 and 120,941 is: 269,639.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,245.50 : 120,941 = 120,941 : x
  2. Step 2: Convert to fraction form
    54,245.50/120,941 = 120,941/x
  3. Step 3: Cross multiply
    54,245.50x = 120,941 × 120,941
  4. Step 4: Simplify right side
    54,245.50x = 14,626,725,481
  5. Step 5: Solve for x
    x = 14,626,725,481/54,245.50
  6. Step 6: Final answer
    x = 269,639.43

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.