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Finding the Third Proportional to 87,264 and 131,112

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Solution

The third proportional to 87,264 and 131,112 is: 196,992.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,264 : 131,112 = 131,112 : x
  2. Step 2: Convert to fraction form
    87,264/131,112 = 131,112/x
  3. Step 3: Cross multiply
    87,264x = 131,112 × 131,112
  4. Step 4: Simplify right side
    87,264x = 17,190,356,544
  5. Step 5: Solve for x
    x = 17,190,356,544/87,264
  6. Step 6: Final answer
    x = 196,992.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.