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Finding the Third Proportional to 37,223 and 80,277

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Solution

The third proportional to 37,223 and 80,277 is: 173,129.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,223 : 80,277 = 80,277 : x
  2. Step 2: Convert to fraction form
    37,223/80,277 = 80,277/x
  3. Step 3: Cross multiply
    37,223x = 80,277 × 80,277
  4. Step 4: Simplify right side
    37,223x = 6,444,396,729
  5. Step 5: Solve for x
    x = 6,444,396,729/37,223
  6. Step 6: Final answer
    x = 173,129.43

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.