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Finding the Third Proportional to 54,021 and 112,374

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Solution

The third proportional to 54,021 and 112,374 is: 233,759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,021 : 112,374 = 112,374 : x
  2. Step 2: Convert to fraction form
    54,021/112,374 = 112,374/x
  3. Step 3: Cross multiply
    54,021x = 112,374 × 112,374
  4. Step 4: Simplify right side
    54,021x = 12,627,915,876
  5. Step 5: Solve for x
    x = 12,627,915,876/54,021
  6. Step 6: Final answer
    x = 233,759.39

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.