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Finding the Third Proportional to 57,544 and 87,517

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Solution

The third proportional to 57,544 and 87,517 is: 133,102.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,544 : 87,517 = 87,517 : x
  2. Step 2: Convert to fraction form
    57,544/87,517 = 87,517/x
  3. Step 3: Cross multiply
    57,544x = 87,517 × 87,517
  4. Step 4: Simplify right side
    57,544x = 7,659,225,289
  5. Step 5: Solve for x
    x = 7,659,225,289/57,544
  6. Step 6: Final answer
    x = 133,102.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.