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Finding the Third Proportional to 54,288 and 119,472

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Solution

The third proportional to 54,288 and 119,472 is: 262,922.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,288 : 119,472 = 119,472 : x
  2. Step 2: Convert to fraction form
    54,288/119,472 = 119,472/x
  3. Step 3: Cross multiply
    54,288x = 119,472 × 119,472
  4. Step 4: Simplify right side
    54,288x = 14,273,558,784
  5. Step 5: Solve for x
    x = 14,273,558,784/54,288
  6. Step 6: Final answer
    x = 262,922.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.