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Finding the Third Proportional to 67,891.50 and 146,292.75

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Solution

The third proportional to 67,891.50 and 146,292.75 is: 315,231.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,891.50 : 146,292.75 = 146,292.75 : x
  2. Step 2: Convert to fraction form
    67,891.50/146,292.75 = 146,292.75/x
  3. Step 3: Cross multiply
    67,891.50x = 146,292.75 × 146,292.75
  4. Step 4: Simplify right side
    67,891.50x = 21,401,568,702.56
  5. Step 5: Solve for x
    x = 21,401,568,702.56/67,891.50
  6. Step 6: Final answer
    x = 315,231.93

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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.