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Finding the Third Proportional to 51,304 and 110,512

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Solution

The third proportional to 51,304 and 110,512 is: 238,049.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,304 : 110,512 = 110,512 : x
  2. Step 2: Convert to fraction form
    51,304/110,512 = 110,512/x
  3. Step 3: Cross multiply
    51,304x = 110,512 × 110,512
  4. Step 4: Simplify right side
    51,304x = 12,212,902,144
  5. Step 5: Solve for x
    x = 12,212,902,144/51,304
  6. Step 6: Final answer
    x = 238,049.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.