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Finding the Third Proportional to 43,772.25 and 67,908.75

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Solution

The third proportional to 43,772.25 and 67,908.75 is: 105,354.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,772.25 : 67,908.75 = 67,908.75 : x
  2. Step 2: Convert to fraction form
    43,772.25/67,908.75 = 67,908.75/x
  3. Step 3: Cross multiply
    43,772.25x = 67,908.75 × 67,908.75
  4. Step 4: Simplify right side
    43,772.25x = 4,611,598,326.56
  5. Step 5: Solve for x
    x = 4,611,598,326.56/43,772.25
  6. Step 6: Final answer
    x = 105,354.38

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.