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Finding the Third Proportional to 31,722 and 68,790

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Solution

The third proportional to 31,722 and 68,790 is: 149,172.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,722 : 68,790 = 68,790 : x
  2. Step 2: Convert to fraction form
    31,722/68,790 = 68,790/x
  3. Step 3: Cross multiply
    31,722x = 68,790 × 68,790
  4. Step 4: Simplify right side
    31,722x = 4,732,064,100
  5. Step 5: Solve for x
    x = 4,732,064,100/31,722
  6. Step 6: Final answer
    x = 149,172.94

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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.