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Finding the Third Proportional to 31,721 and 68,910

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Solution

The third proportional to 31,721 and 68,910 is: 149,698.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,721 : 68,910 = 68,910 : x
  2. Step 2: Convert to fraction form
    31,721/68,910 = 68,910/x
  3. Step 3: Cross multiply
    31,721x = 68,910 × 68,910
  4. Step 4: Simplify right side
    31,721x = 4,748,588,100
  5. Step 5: Solve for x
    x = 4,748,588,100/31,721
  6. Step 6: Final answer
    x = 149,698.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.