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Finding the Third Proportional to 102,716 and 225,568

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Solution

The third proportional to 102,716 and 225,568 is: 495,355.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,716 : 225,568 = 225,568 : x
  2. Step 2: Convert to fraction form
    102,716/225,568 = 225,568/x
  3. Step 3: Cross multiply
    102,716x = 225,568 × 225,568
  4. Step 4: Simplify right side
    102,716x = 50,880,922,624
  5. Step 5: Solve for x
    x = 50,880,922,624/102,716
  6. Step 6: Final answer
    x = 495,355.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.