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Finding the Third Proportional to 92,967 and 191,435

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Solution

The third proportional to 92,967 and 191,435 is: 394,197.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,967 : 191,435 = 191,435 : x
  2. Step 2: Convert to fraction form
    92,967/191,435 = 191,435/x
  3. Step 3: Cross multiply
    92,967x = 191,435 × 191,435
  4. Step 4: Simplify right side
    92,967x = 36,647,359,225
  5. Step 5: Solve for x
    x = 36,647,359,225/92,967
  6. Step 6: Final answer
    x = 394,197.50

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.