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Finding the Third Proportional to 57,519 and 125,001

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Solution

The third proportional to 57,519 and 125,001 is: 271,653.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,519 : 125,001 = 125,001 : x
  2. Step 2: Convert to fraction form
    57,519/125,001 = 125,001/x
  3. Step 3: Cross multiply
    57,519x = 125,001 × 125,001
  4. Step 4: Simplify right side
    57,519x = 15,625,250,001
  5. Step 5: Solve for x
    x = 15,625,250,001/57,519
  6. Step 6: Final answer
    x = 271,653.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.