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Finding the Third Proportional to 37,164 and 81,675

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Solution

The third proportional to 37,164 and 81,675 is: 179,496.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,164 : 81,675 = 81,675 : x
  2. Step 2: Convert to fraction form
    37,164/81,675 = 81,675/x
  3. Step 3: Cross multiply
    37,164x = 81,675 × 81,675
  4. Step 4: Simplify right side
    37,164x = 6,670,805,625
  5. Step 5: Solve for x
    x = 6,670,805,625/37,164
  6. Step 6: Final answer
    x = 179,496.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.