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Finding the Third Proportional to 37,185 and 81,741

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Solution

The third proportional to 37,185 and 81,741 is: 179,685.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,185 : 81,741 = 81,741 : x
  2. Step 2: Convert to fraction form
    37,185/81,741 = 81,741/x
  3. Step 3: Cross multiply
    37,185x = 81,741 × 81,741
  4. Step 4: Simplify right side
    37,185x = 6,681,591,081
  5. Step 5: Solve for x
    x = 6,681,591,081/37,185
  6. Step 6: Final answer
    x = 179,685.12

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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.