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Finding the Third Proportional to 54,634 and 111,273

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Solution

The third proportional to 54,634 and 111,273 is: 226,629.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,634 : 111,273 = 111,273 : x
  2. Step 2: Convert to fraction form
    54,634/111,273 = 111,273/x
  3. Step 3: Cross multiply
    54,634x = 111,273 × 111,273
  4. Step 4: Simplify right side
    54,634x = 12,381,680,529
  5. Step 5: Solve for x
    x = 12,381,680,529/54,634
  6. Step 6: Final answer
    x = 226,629.58

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.