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Finding the Third Proportional to 90,162 and 192,832

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Solution

The third proportional to 90,162 and 192,832 is: 412,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,162 : 192,832 = 192,832 : x
  2. Step 2: Convert to fraction form
    90,162/192,832 = 192,832/x
  3. Step 3: Cross multiply
    90,162x = 192,832 × 192,832
  4. Step 4: Simplify right side
    90,162x = 37,184,180,224
  5. Step 5: Solve for x
    x = 37,184,180,224/90,162
  6. Step 6: Final answer
    x = 412,415.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.