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Finding the Third Proportional to 68,811 and 113,883.50

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Solution

The third proportional to 68,811 and 113,883.50 is: 188,479.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,811 : 113,883.50 = 113,883.50 : x
  2. Step 2: Convert to fraction form
    68,811/113,883.50 = 113,883.50/x
  3. Step 3: Cross multiply
    68,811x = 113,883.50 × 113,883.50
  4. Step 4: Simplify right side
    68,811x = 12,969,451,572.25
  5. Step 5: Solve for x
    x = 12,969,451,572.25/68,811
  6. Step 6: Final answer
    x = 188,479.34

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.