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Finding the Third Proportional to 54,373 and 115,274

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Solution

The third proportional to 54,373 and 115,274 is: 244,387.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,373 : 115,274 = 115,274 : x
  2. Step 2: Convert to fraction form
    54,373/115,274 = 115,274/x
  3. Step 3: Cross multiply
    54,373x = 115,274 × 115,274
  4. Step 4: Simplify right side
    54,373x = 13,288,095,076
  5. Step 5: Solve for x
    x = 13,288,095,076/54,373
  6. Step 6: Final answer
    x = 244,387.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.