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Finding the Third Proportional to 36,238 and 80,252

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Solution

The third proportional to 36,238 and 80,252 is: 177,724.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,238 : 80,252 = 80,252 : x
  2. Step 2: Convert to fraction form
    36,238/80,252 = 80,252/x
  3. Step 3: Cross multiply
    36,238x = 80,252 × 80,252
  4. Step 4: Simplify right side
    36,238x = 6,440,383,504
  5. Step 5: Solve for x
    x = 6,440,383,504/36,238
  6. Step 6: Final answer
    x = 177,724.58

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.