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Finding the Third Proportional to 80,446 and 105,786.50

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Solution

The third proportional to 80,446 and 105,786.50 is: 139,109.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,446 : 105,786.50 = 105,786.50 : x
  2. Step 2: Convert to fraction form
    80,446/105,786.50 = 105,786.50/x
  3. Step 3: Cross multiply
    80,446x = 105,786.50 × 105,786.50
  4. Step 4: Simplify right side
    80,446x = 11,190,783,582.25
  5. Step 5: Solve for x
    x = 11,190,783,582.25/80,446
  6. Step 6: Final answer
    x = 139,109.26

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