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Finding the Third Proportional to 67,234.75 and 144,843

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Solution

The third proportional to 67,234.75 and 144,843 is: 312,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,234.75 : 144,843 = 144,843 : x
  2. Step 2: Convert to fraction form
    67,234.75/144,843 = 144,843/x
  3. Step 3: Cross multiply
    67,234.75x = 144,843 × 144,843
  4. Step 4: Simplify right side
    67,234.75x = 20,979,494,649
  5. Step 5: Solve for x
    x = 20,979,494,649/67,234.75
  6. Step 6: Final answer
    x = 312,033.50

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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.