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Finding the Third Proportional to 54,512 and 83,376

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Solution

The third proportional to 54,512 and 83,376 is: 127,523.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,512 : 83,376 = 83,376 : x
  2. Step 2: Convert to fraction form
    54,512/83,376 = 83,376/x
  3. Step 3: Cross multiply
    54,512x = 83,376 × 83,376
  4. Step 4: Simplify right side
    54,512x = 6,951,557,376
  5. Step 5: Solve for x
    x = 6,951,557,376/54,512
  6. Step 6: Final answer
    x = 127,523.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.