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Finding the Third Proportional to 69,143.50 and 150,801

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Solution

The third proportional to 69,143.50 and 150,801 is: 328,894.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,143.50 : 150,801 = 150,801 : x
  2. Step 2: Convert to fraction form
    69,143.50/150,801 = 150,801/x
  3. Step 3: Cross multiply
    69,143.50x = 150,801 × 150,801
  4. Step 4: Simplify right side
    69,143.50x = 22,740,941,601
  5. Step 5: Solve for x
    x = 22,740,941,601/69,143.50
  6. Step 6: Final answer
    x = 328,894.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.