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Finding the Third Proportional to 40,093 and 87,017

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Solution

The third proportional to 40,093 and 87,017 is: 188,859.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,093 : 87,017 = 87,017 : x
  2. Step 2: Convert to fraction form
    40,093/87,017 = 87,017/x
  3. Step 3: Cross multiply
    40,093x = 87,017 × 87,017
  4. Step 4: Simplify right side
    40,093x = 7,571,958,289
  5. Step 5: Solve for x
    x = 7,571,958,289/40,093
  6. Step 6: Final answer
    x = 188,859.86

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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.