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Finding the Third Proportional to 91,667 and 192,559

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Solution

The third proportional to 91,667 and 192,559 is: 404,496.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,667 : 192,559 = 192,559 : x
  2. Step 2: Convert to fraction form
    91,667/192,559 = 192,559/x
  3. Step 3: Cross multiply
    91,667x = 192,559 × 192,559
  4. Step 4: Simplify right side
    91,667x = 37,078,968,481
  5. Step 5: Solve for x
    x = 37,078,968,481/91,667
  6. Step 6: Final answer
    x = 404,496.37

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.