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Finding the Third Proportional to 37,191 and 81,753

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Solution

The third proportional to 37,191 and 81,753 is: 179,708.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,191 : 81,753 = 81,753 : x
  2. Step 2: Convert to fraction form
    37,191/81,753 = 81,753/x
  3. Step 3: Cross multiply
    37,191x = 81,753 × 81,753
  4. Step 4: Simplify right side
    37,191x = 6,683,553,009
  5. Step 5: Solve for x
    x = 6,683,553,009/37,191
  6. Step 6: Final answer
    x = 179,708.88

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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.