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Finding the Third Proportional to 91,576 and 192,992

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Solution

The third proportional to 91,576 and 192,992 is: 406,721.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,576 : 192,992 = 192,992 : x
  2. Step 2: Convert to fraction form
    91,576/192,992 = 192,992/x
  3. Step 3: Cross multiply
    91,576x = 192,992 × 192,992
  4. Step 4: Simplify right side
    91,576x = 37,245,912,064
  5. Step 5: Solve for x
    x = 37,245,912,064/91,576
  6. Step 6: Final answer
    x = 406,721.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.