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Finding the Third Proportional to 84,727.50 and 182,571

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Solution

The third proportional to 84,727.50 and 182,571 is: 393,404.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,727.50 : 182,571 = 182,571 : x
  2. Step 2: Convert to fraction form
    84,727.50/182,571 = 182,571/x
  3. Step 3: Cross multiply
    84,727.50x = 182,571 × 182,571
  4. Step 4: Simplify right side
    84,727.50x = 33,332,170,041
  5. Step 5: Solve for x
    x = 33,332,170,041/84,727.50
  6. Step 6: Final answer
    x = 393,404.39

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Why These Related Problems?

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