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Finding the Third Proportional to 31,296 and 67,901

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Solution

The third proportional to 31,296 and 67,901 is: 147,320.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,296 : 67,901 = 67,901 : x
  2. Step 2: Convert to fraction form
    31,296/67,901 = 67,901/x
  3. Step 3: Cross multiply
    31,296x = 67,901 × 67,901
  4. Step 4: Simplify right side
    31,296x = 4,610,545,801
  5. Step 5: Solve for x
    x = 4,610,545,801/31,296
  6. Step 6: Final answer
    x = 147,320.61

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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.