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Finding the Third Proportional to 37,803 and 82,167

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Solution

The third proportional to 37,803 and 82,167 is: 178,594.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,803 : 82,167 = 82,167 : x
  2. Step 2: Convert to fraction form
    37,803/82,167 = 82,167/x
  3. Step 3: Cross multiply
    37,803x = 82,167 × 82,167
  4. Step 4: Simplify right side
    37,803x = 6,751,415,889
  5. Step 5: Solve for x
    x = 6,751,415,889/37,803
  6. Step 6: Final answer
    x = 178,594.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.