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Finding the Third Proportional to 77,441 and 113,893.50

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Solution

The third proportional to 77,441 and 113,893.50 is: 167,504.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,441 : 113,893.50 = 113,893.50 : x
  2. Step 2: Convert to fraction form
    77,441/113,893.50 = 113,893.50/x
  3. Step 3: Cross multiply
    77,441x = 113,893.50 × 113,893.50
  4. Step 4: Simplify right side
    77,441x = 12,971,729,342.25
  5. Step 5: Solve for x
    x = 12,971,729,342.25/77,441
  6. Step 6: Final answer
    x = 167,504.67

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