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Finding the Third Proportional to 109,077.75 and 160,024.50

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Solution

The third proportional to 109,077.75 and 160,024.50 is: 234,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,077.75 : 160,024.50 = 160,024.50 : x
  2. Step 2: Convert to fraction form
    109,077.75/160,024.50 = 160,024.50/x
  3. Step 3: Cross multiply
    109,077.75x = 160,024.50 × 160,024.50
  4. Step 4: Simplify right side
    109,077.75x = 25,607,840,600.25
  5. Step 5: Solve for x
    x = 25,607,840,600.25/109,077.75
  6. Step 6: Final answer
    x = 234,766.86

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