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Finding the Third Proportional to 39,908.25 and 83,196.75

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Solution

The third proportional to 39,908.25 and 83,196.75 is: 173,440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,908.25 : 83,196.75 = 83,196.75 : x
  2. Step 2: Convert to fraction form
    39,908.25/83,196.75 = 83,196.75/x
  3. Step 3: Cross multiply
    39,908.25x = 83,196.75 × 83,196.75
  4. Step 4: Simplify right side
    39,908.25x = 6,921,699,210.56
  5. Step 5: Solve for x
    x = 6,921,699,210.56/39,908.25
  6. Step 6: Final answer
    x = 173,440.31

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.