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Finding the Third Proportional to 76,571 and 162,234

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Solution

The third proportional to 76,571 and 162,234 is: 343,731.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,571 : 162,234 = 162,234 : x
  2. Step 2: Convert to fraction form
    76,571/162,234 = 162,234/x
  3. Step 3: Cross multiply
    76,571x = 162,234 × 162,234
  4. Step 4: Simplify right side
    76,571x = 26,319,870,756
  5. Step 5: Solve for x
    x = 26,319,870,756/76,571
  6. Step 6: Final answer
    x = 343,731.58

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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.