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Finding the Third Proportional to 37,112.06 and 79,964.44

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Solution

The third proportional to 37,112.06 and 79,964.44 is: 172,297.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,112.06 : 79,964.44 = 79,964.44 : x
  2. Step 2: Convert to fraction form
    37,112.06/79,964.44 = 79,964.44/x
  3. Step 3: Cross multiply
    37,112.06x = 79,964.44 × 79,964.44
  4. Step 4: Simplify right side
    37,112.06x = 6,394,311,264.69
  5. Step 5: Solve for x
    x = 6,394,311,264.69/37,112.06
  6. Step 6: Final answer
    x = 172,297.38

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.