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Finding the Third Proportional to 82,998 and 131,962.50

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Solution

The third proportional to 82,998 and 131,962.50 is: 209,813.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,998 : 131,962.50 = 131,962.50 : x
  2. Step 2: Convert to fraction form
    82,998/131,962.50 = 131,962.50/x
  3. Step 3: Cross multiply
    82,998x = 131,962.50 × 131,962.50
  4. Step 4: Simplify right side
    82,998x = 17,414,101,406.25
  5. Step 5: Solve for x
    x = 17,414,101,406.25/82,998
  6. Step 6: Final answer
    x = 209,813.51

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