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Finding the Third Proportional to 73,665 and 158,082.75

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Solution

The third proportional to 73,665 and 158,082.75 is: 339,240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,665 : 158,082.75 = 158,082.75 : x
  2. Step 2: Convert to fraction form
    73,665/158,082.75 = 158,082.75/x
  3. Step 3: Cross multiply
    73,665x = 158,082.75 × 158,082.75
  4. Step 4: Simplify right side
    73,665x = 24,990,155,847.56
  5. Step 5: Solve for x
    x = 24,990,155,847.56/73,665
  6. Step 6: Final answer
    x = 339,240.56

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.