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Finding the Third Proportional to 51,981 and 77,853.75

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Solution

The third proportional to 51,981 and 77,853.75 is: 116,604.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,981 : 77,853.75 = 77,853.75 : x
  2. Step 2: Convert to fraction form
    51,981/77,853.75 = 77,853.75/x
  3. Step 3: Cross multiply
    51,981x = 77,853.75 × 77,853.75
  4. Step 4: Simplify right side
    51,981x = 6,061,206,389.06
  5. Step 5: Solve for x
    x = 6,061,206,389.06/51,981
  6. Step 6: Final answer
    x = 116,604.27

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