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Finding the Third Proportional to 54,529 and 116,941

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Solution

The third proportional to 54,529 and 116,941 is: 250,787.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,529 : 116,941 = 116,941 : x
  2. Step 2: Convert to fraction form
    54,529/116,941 = 116,941/x
  3. Step 3: Cross multiply
    54,529x = 116,941 × 116,941
  4. Step 4: Simplify right side
    54,529x = 13,675,197,481
  5. Step 5: Solve for x
    x = 13,675,197,481/54,529
  6. Step 6: Final answer
    x = 250,787.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.