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Finding the Third Proportional to 68,192.25 and 91,728.75

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Solution

The third proportional to 68,192.25 and 91,728.75 is: 123,388.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,192.25 : 91,728.75 = 91,728.75 : x
  2. Step 2: Convert to fraction form
    68,192.25/91,728.75 = 91,728.75/x
  3. Step 3: Cross multiply
    68,192.25x = 91,728.75 × 91,728.75
  4. Step 4: Simplify right side
    68,192.25x = 8,414,163,576.56
  5. Step 5: Solve for x
    x = 8,414,163,576.56/68,192.25
  6. Step 6: Final answer
    x = 123,388.85

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.