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Finding the Third Proportional to 100,905.75 and 160,592.63

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Solution

The third proportional to 100,905.75 and 160,592.63 is: 255,584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,905.75 : 160,592.63 = 160,592.63 : x
  2. Step 2: Convert to fraction form
    100,905.75/160,592.63 = 160,592.63/x
  3. Step 3: Cross multiply
    100,905.75x = 160,592.63 × 160,592.63
  4. Step 4: Simplify right side
    100,905.75x = 25,789,991,204.39
  5. Step 5: Solve for x
    x = 25,789,991,204.39/100,905.75
  6. Step 6: Final answer
    x = 255,584.95

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