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Finding the Third Proportional to 27,144 and 59,812

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Solution

The third proportional to 27,144 and 59,812 is: 131,796.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,144 : 59,812 = 59,812 : x
  2. Step 2: Convert to fraction form
    27,144/59,812 = 59,812/x
  3. Step 3: Cross multiply
    27,144x = 59,812 × 59,812
  4. Step 4: Simplify right side
    27,144x = 3,577,475,344
  5. Step 5: Solve for x
    x = 3,577,475,344/27,144
  6. Step 6: Final answer
    x = 131,796.17

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.