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Finding the Third Proportional to 78,732 and 106,069.50

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Solution

The third proportional to 78,732 and 106,069.50 is: 142,899.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,732 : 106,069.50 = 106,069.50 : x
  2. Step 2: Convert to fraction form
    78,732/106,069.50 = 106,069.50/x
  3. Step 3: Cross multiply
    78,732x = 106,069.50 × 106,069.50
  4. Step 4: Simplify right side
    78,732x = 11,250,738,830.25
  5. Step 5: Solve for x
    x = 11,250,738,830.25/78,732
  6. Step 6: Final answer
    x = 142,899.19

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