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Finding the Third Proportional to 84,622 and 180,112

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Solution

The third proportional to 84,622 and 180,112 is: 383,355.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,622 : 180,112 = 180,112 : x
  2. Step 2: Convert to fraction form
    84,622/180,112 = 180,112/x
  3. Step 3: Cross multiply
    84,622x = 180,112 × 180,112
  4. Step 4: Simplify right side
    84,622x = 32,440,332,544
  5. Step 5: Solve for x
    x = 32,440,332,544/84,622
  6. Step 6: Final answer
    x = 383,355.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.