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Finding the Third Proportional to 37,206 and 81,093

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Solution

The third proportional to 37,206 and 81,093 is: 176,747.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,206 : 81,093 = 81,093 : x
  2. Step 2: Convert to fraction form
    37,206/81,093 = 81,093/x
  3. Step 3: Cross multiply
    37,206x = 81,093 × 81,093
  4. Step 4: Simplify right side
    37,206x = 6,576,074,649
  5. Step 5: Solve for x
    x = 6,576,074,649/37,206
  6. Step 6: Final answer
    x = 176,747.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.