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Finding the Third Proportional to 43,675 and 68,914.50

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Solution

The third proportional to 43,675 and 68,914.50 is: 108,739.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,675 : 68,914.50 = 68,914.50 : x
  2. Step 2: Convert to fraction form
    43,675/68,914.50 = 68,914.50/x
  3. Step 3: Cross multiply
    43,675x = 68,914.50 × 68,914.50
  4. Step 4: Simplify right side
    43,675x = 4,749,208,310.25
  5. Step 5: Solve for x
    x = 4,749,208,310.25/43,675
  6. Step 6: Final answer
    x = 108,739.74

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.