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Finding the Third Proportional to 37,131.52 and 80,181.56

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Solution

The third proportional to 37,131.52 and 80,181.56 is: 173,143.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,131.52 : 80,181.56 = 80,181.56 : x
  2. Step 2: Convert to fraction form
    37,131.52/80,181.56 = 80,181.56/x
  3. Step 3: Cross multiply
    37,131.52x = 80,181.56 × 80,181.56
  4. Step 4: Simplify right side
    37,131.52x = 6,429,082,964.94
  5. Step 5: Solve for x
    x = 6,429,082,964.94/37,131.52
  6. Step 6: Final answer
    x = 173,143.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.