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Finding the Third Proportional to 106,982.50 and 165,565.50

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Solution

The third proportional to 106,982.50 and 165,565.50 is: 256,228.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,982.50 : 165,565.50 = 165,565.50 : x
  2. Step 2: Convert to fraction form
    106,982.50/165,565.50 = 165,565.50/x
  3. Step 3: Cross multiply
    106,982.50x = 165,565.50 × 165,565.50
  4. Step 4: Simplify right side
    106,982.50x = 27,411,934,790.25
  5. Step 5: Solve for x
    x = 27,411,934,790.25/106,982.50
  6. Step 6: Final answer
    x = 256,228.21

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