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Finding the Third Proportional to 54,589 and 119,329

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Solution

The third proportional to 54,589 and 119,329 is: 260,847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,589 : 119,329 = 119,329 : x
  2. Step 2: Convert to fraction form
    54,589/119,329 = 119,329/x
  3. Step 3: Cross multiply
    54,589x = 119,329 × 119,329
  4. Step 4: Simplify right side
    54,589x = 14,239,410,241
  5. Step 5: Solve for x
    x = 14,239,410,241/54,589
  6. Step 6: Final answer
    x = 260,847.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.