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Finding the Third Proportional to 54,361 and 119,757

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Solution

The third proportional to 54,361 and 119,757 is: 263,824.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,361 : 119,757 = 119,757 : x
  2. Step 2: Convert to fraction form
    54,361/119,757 = 119,757/x
  3. Step 3: Cross multiply
    54,361x = 119,757 × 119,757
  4. Step 4: Simplify right side
    54,361x = 14,341,739,049
  5. Step 5: Solve for x
    x = 14,341,739,049/54,361
  6. Step 6: Final answer
    x = 263,824.05

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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.