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Finding the Third Proportional to 40,013 and 87,226

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Solution

The third proportional to 40,013 and 87,226 is: 190,147.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,013 : 87,226 = 87,226 : x
  2. Step 2: Convert to fraction form
    40,013/87,226 = 87,226/x
  3. Step 3: Cross multiply
    40,013x = 87,226 × 87,226
  4. Step 4: Simplify right side
    40,013x = 7,608,375,076
  5. Step 5: Solve for x
    x = 7,608,375,076/40,013
  6. Step 6: Final answer
    x = 190,147.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.