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Finding the Third Proportional to 68,268 and 106,861.50

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Solution

The third proportional to 68,268 and 106,861.50 is: 167,272.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,268 : 106,861.50 = 106,861.50 : x
  2. Step 2: Convert to fraction form
    68,268/106,861.50 = 106,861.50/x
  3. Step 3: Cross multiply
    68,268x = 106,861.50 × 106,861.50
  4. Step 4: Simplify right side
    68,268x = 11,419,380,182.25
  5. Step 5: Solve for x
    x = 11,419,380,182.25/68,268
  6. Step 6: Final answer
    x = 167,272.81

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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.