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Finding the Third Proportional to 92,122 and 191,168

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Solution

The third proportional to 92,122 and 191,168 is: 396,704.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,122 : 191,168 = 191,168 : x
  2. Step 2: Convert to fraction form
    92,122/191,168 = 191,168/x
  3. Step 3: Cross multiply
    92,122x = 191,168 × 191,168
  4. Step 4: Simplify right side
    92,122x = 36,545,204,224
  5. Step 5: Solve for x
    x = 36,545,204,224/92,122
  6. Step 6: Final answer
    x = 396,704.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.