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Finding the Third Proportional to 94,176 and 192,672

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Solution

The third proportional to 94,176 and 192,672 is: 394,182.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,176 : 192,672 = 192,672 : x
  2. Step 2: Convert to fraction form
    94,176/192,672 = 192,672/x
  3. Step 3: Cross multiply
    94,176x = 192,672 × 192,672
  4. Step 4: Simplify right side
    94,176x = 37,122,499,584
  5. Step 5: Solve for x
    x = 37,122,499,584/94,176
  6. Step 6: Final answer
    x = 394,182.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.