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Finding the Third Proportional to 71,084 and 150,916

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Solution

The third proportional to 71,084 and 150,916 is: 320,404.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,084 : 150,916 = 150,916 : x
  2. Step 2: Convert to fraction form
    71,084/150,916 = 150,916/x
  3. Step 3: Cross multiply
    71,084x = 150,916 × 150,916
  4. Step 4: Simplify right side
    71,084x = 22,775,639,056
  5. Step 5: Solve for x
    x = 22,775,639,056/71,084
  6. Step 6: Final answer
    x = 320,404.58

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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.