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Finding the Third Proportional to 54,167 and 120,782

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Solution

The third proportional to 54,167 and 120,782 is: 269,320.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,167 : 120,782 = 120,782 : x
  2. Step 2: Convert to fraction form
    54,167/120,782 = 120,782/x
  3. Step 3: Cross multiply
    54,167x = 120,782 × 120,782
  4. Step 4: Simplify right side
    54,167x = 14,588,291,524
  5. Step 5: Solve for x
    x = 14,588,291,524/54,167
  6. Step 6: Final answer
    x = 269,320.65

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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.