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Finding the Third Proportional to 91,750 and 191,822

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Solution

The third proportional to 91,750 and 191,822 is: 401,042.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,750 : 191,822 = 191,822 : x
  2. Step 2: Convert to fraction form
    91,750/191,822 = 191,822/x
  3. Step 3: Cross multiply
    91,750x = 191,822 × 191,822
  4. Step 4: Simplify right side
    91,750x = 36,795,679,684
  5. Step 5: Solve for x
    x = 36,795,679,684/91,750
  6. Step 6: Final answer
    x = 401,042.83

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.