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Finding the Third Proportional to 39,102.75 and 82,509.75

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Solution

The third proportional to 39,102.75 and 82,509.75 is: 174,101.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,102.75 : 82,509.75 = 82,509.75 : x
  2. Step 2: Convert to fraction form
    39,102.75/82,509.75 = 82,509.75/x
  3. Step 3: Cross multiply
    39,102.75x = 82,509.75 × 82,509.75
  4. Step 4: Simplify right side
    39,102.75x = 6,807,858,845.06
  5. Step 5: Solve for x
    x = 6,807,858,845.06/39,102.75
  6. Step 6: Final answer
    x = 174,101.79

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.