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Finding the Third Proportional to 106,143.75 and 160,584.75

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Solution

The third proportional to 106,143.75 and 160,584.75 is: 242,948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,143.75 : 160,584.75 = 160,584.75 : x
  2. Step 2: Convert to fraction form
    106,143.75/160,584.75 = 160,584.75/x
  3. Step 3: Cross multiply
    106,143.75x = 160,584.75 × 160,584.75
  4. Step 4: Simplify right side
    106,143.75x = 25,787,461,932.56
  5. Step 5: Solve for x
    x = 25,787,461,932.56/106,143.75
  6. Step 6: Final answer
    x = 242,948.47

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