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Finding the Third Proportional to 54,792 and 119,631

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Solution

The third proportional to 54,792 and 119,631 is: 261,198.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,792 : 119,631 = 119,631 : x
  2. Step 2: Convert to fraction form
    54,792/119,631 = 119,631/x
  3. Step 3: Cross multiply
    54,792x = 119,631 × 119,631
  4. Step 4: Simplify right side
    54,792x = 14,311,576,161
  5. Step 5: Solve for x
    x = 14,311,576,161/54,792
  6. Step 6: Final answer
    x = 261,198.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.