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Finding the Third Proportional to 91,662 and 192,549

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Solution

The third proportional to 91,662 and 192,549 is: 404,476.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,662 : 192,549 = 192,549 : x
  2. Step 2: Convert to fraction form
    91,662/192,549 = 192,549/x
  3. Step 3: Cross multiply
    91,662x = 192,549 × 192,549
  4. Step 4: Simplify right side
    91,662x = 37,075,117,401
  5. Step 5: Solve for x
    x = 37,075,117,401/91,662
  6. Step 6: Final answer
    x = 404,476.42

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