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Finding the Third Proportional to 87,944 and 212,568

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Solution

The third proportional to 87,944 and 212,568 is: 513,794.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,944 : 212,568 = 212,568 : x
  2. Step 2: Convert to fraction form
    87,944/212,568 = 212,568/x
  3. Step 3: Cross multiply
    87,944x = 212,568 × 212,568
  4. Step 4: Simplify right side
    87,944x = 45,185,154,624
  5. Step 5: Solve for x
    x = 45,185,154,624/87,944
  6. Step 6: Final answer
    x = 513,794.63

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.