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Finding the Third Proportional to 37,081.13 and 82,171.13

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Solution

The third proportional to 37,081.13 and 82,171.13 is: 182,089.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,081.13 : 82,171.13 = 82,171.13 : x
  2. Step 2: Convert to fraction form
    37,081.13/82,171.13 = 82,171.13/x
  3. Step 3: Cross multiply
    37,081.13x = 82,171.13 × 82,171.13
  4. Step 4: Simplify right side
    37,081.13x = 6,752,093,783.77
  5. Step 5: Solve for x
    x = 6,752,093,783.77/37,081.13
  6. Step 6: Final answer
    x = 182,089.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.