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Finding the Third Proportional to 75,683.25 and 160,591.50

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Solution

The third proportional to 75,683.25 and 160,591.50 is: 340,757.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,683.25 : 160,591.50 = 160,591.50 : x
  2. Step 2: Convert to fraction form
    75,683.25/160,591.50 = 160,591.50/x
  3. Step 3: Cross multiply
    75,683.25x = 160,591.50 × 160,591.50
  4. Step 4: Simplify right side
    75,683.25x = 25,789,629,872.25
  5. Step 5: Solve for x
    x = 25,789,629,872.25/75,683.25
  6. Step 6: Final answer
    x = 340,757.43

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.