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Finding the Third Proportional to 40,226 and 88,234

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Solution

The third proportional to 40,226 and 88,234 is: 193,537.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,226 : 88,234 = 88,234 : x
  2. Step 2: Convert to fraction form
    40,226/88,234 = 88,234/x
  3. Step 3: Cross multiply
    40,226x = 88,234 × 88,234
  4. Step 4: Simplify right side
    40,226x = 7,785,238,756
  5. Step 5: Solve for x
    x = 7,785,238,756/40,226
  6. Step 6: Final answer
    x = 193,537.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.