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Finding the Third Proportional to 40,249.50 and 87,414

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Solution

The third proportional to 40,249.50 and 87,414 is: 189,846.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,249.50 : 87,414 = 87,414 : x
  2. Step 2: Convert to fraction form
    40,249.50/87,414 = 87,414/x
  3. Step 3: Cross multiply
    40,249.50x = 87,414 × 87,414
  4. Step 4: Simplify right side
    40,249.50x = 7,641,207,396
  5. Step 5: Solve for x
    x = 7,641,207,396/40,249.50
  6. Step 6: Final answer
    x = 189,846.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.