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Finding the Third Proportional to 78,833.25 and 122,404.50

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Solution

The third proportional to 78,833.25 and 122,404.50 is: 190,057.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,833.25 : 122,404.50 = 122,404.50 : x
  2. Step 2: Convert to fraction form
    78,833.25/122,404.50 = 122,404.50/x
  3. Step 3: Cross multiply
    78,833.25x = 122,404.50 × 122,404.50
  4. Step 4: Simplify right side
    78,833.25x = 14,982,861,620.25
  5. Step 5: Solve for x
    x = 14,982,861,620.25/78,833.25
  6. Step 6: Final answer
    x = 190,057.64

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