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Finding the Third Proportional to 37,112 and 82,226

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Solution

The third proportional to 37,112 and 82,226 is: 182,181.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,112 : 82,226 = 82,226 : x
  2. Step 2: Convert to fraction form
    37,112/82,226 = 82,226/x
  3. Step 3: Cross multiply
    37,112x = 82,226 × 82,226
  4. Step 4: Simplify right side
    37,112x = 6,761,115,076
  5. Step 5: Solve for x
    x = 6,761,115,076/37,112
  6. Step 6: Final answer
    x = 182,181.37

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.