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Finding the Third Proportional to 31,716 and 68,859

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Solution

The third proportional to 31,716 and 68,859 is: 149,500.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,716 : 68,859 = 68,859 : x
  2. Step 2: Convert to fraction form
    31,716/68,859 = 68,859/x
  3. Step 3: Cross multiply
    31,716x = 68,859 × 68,859
  4. Step 4: Simplify right side
    31,716x = 4,741,561,881
  5. Step 5: Solve for x
    x = 4,741,561,881/31,716
  6. Step 6: Final answer
    x = 149,500.63

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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.