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Finding the Third Proportional to 71,162 and 151,084

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Solution

The third proportional to 71,162 and 151,084 is: 320,766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,162 : 151,084 = 151,084 : x
  2. Step 2: Convert to fraction form
    71,162/151,084 = 151,084/x
  3. Step 3: Cross multiply
    71,162x = 151,084 × 151,084
  4. Step 4: Simplify right side
    71,162x = 22,826,375,056
  5. Step 5: Solve for x
    x = 22,826,375,056/71,162
  6. Step 6: Final answer
    x = 320,766.35

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Why These Related Problems?

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