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Finding the Third Proportional to 87,474 and 131,181.75

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Solution

The third proportional to 87,474 and 131,181.75 is: 196,728.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,474 : 131,181.75 = 131,181.75 : x
  2. Step 2: Convert to fraction form
    87,474/131,181.75 = 131,181.75/x
  3. Step 3: Cross multiply
    87,474x = 131,181.75 × 131,181.75
  4. Step 4: Simplify right side
    87,474x = 17,208,651,533.06
  5. Step 5: Solve for x
    x = 17,208,651,533.06/87,474
  6. Step 6: Final answer
    x = 196,728.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.