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Finding the Third Proportional to 68,285.72 and 107,120.25

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Solution

The third proportional to 68,285.72 and 107,120.25 is: 168,040.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,285.72 : 107,120.25 = 107,120.25 : x
  2. Step 2: Convert to fraction form
    68,285.72/107,120.25 = 107,120.25/x
  3. Step 3: Cross multiply
    68,285.72x = 107,120.25 × 107,120.25
  4. Step 4: Simplify right side
    68,285.72x = 11,474,747,960.06
  5. Step 5: Solve for x
    x = 11,474,747,960.06/68,285.72
  6. Step 6: Final answer
    x = 168,040.23

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.