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Finding the Third Proportional to 40,075 and 62,296.50

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Solution

The third proportional to 40,075 and 62,296.50 is: 96,839.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,075 : 62,296.50 = 62,296.50 : x
  2. Step 2: Convert to fraction form
    40,075/62,296.50 = 62,296.50/x
  3. Step 3: Cross multiply
    40,075x = 62,296.50 × 62,296.50
  4. Step 4: Simplify right side
    40,075x = 3,880,853,912.25
  5. Step 5: Solve for x
    x = 3,880,853,912.25/40,075
  6. Step 6: Final answer
    x = 96,839.77

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