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Finding the Third Proportional to 87,234 and 134,247

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Solution

The third proportional to 87,234 and 134,247 is: 206,596.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,234 : 134,247 = 134,247 : x
  2. Step 2: Convert to fraction form
    87,234/134,247 = 134,247/x
  3. Step 3: Cross multiply
    87,234x = 134,247 × 134,247
  4. Step 4: Simplify right side
    87,234x = 18,022,257,009
  5. Step 5: Solve for x
    x = 18,022,257,009/87,234
  6. Step 6: Final answer
    x = 206,596.71

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.