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Finding the Third Proportional to 78,397 and 119,438.50

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Solution

The third proportional to 78,397 and 119,438.50 is: 181,965.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,397 : 119,438.50 = 119,438.50 : x
  2. Step 2: Convert to fraction form
    78,397/119,438.50 = 119,438.50/x
  3. Step 3: Cross multiply
    78,397x = 119,438.50 × 119,438.50
  4. Step 4: Simplify right side
    78,397x = 14,265,555,282.25
  5. Step 5: Solve for x
    x = 14,265,555,282.25/78,397
  6. Step 6: Final answer
    x = 181,965.58

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