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Finding the Third Proportional to 54,359 and 120,382

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Solution

The third proportional to 54,359 and 120,382 is: 266,594.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,359 : 120,382 = 120,382 : x
  2. Step 2: Convert to fraction form
    54,359/120,382 = 120,382/x
  3. Step 3: Cross multiply
    54,359x = 120,382 × 120,382
  4. Step 4: Simplify right side
    54,359x = 14,491,825,924
  5. Step 5: Solve for x
    x = 14,491,825,924/54,359
  6. Step 6: Final answer
    x = 266,594.79

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.