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Finding the Third Proportional to 31,494 and 68,712

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Solution

The third proportional to 31,494 and 68,712 is: 149,912.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,494 : 68,712 = 68,712 : x
  2. Step 2: Convert to fraction form
    31,494/68,712 = 68,712/x
  3. Step 3: Cross multiply
    31,494x = 68,712 × 68,712
  4. Step 4: Simplify right side
    31,494x = 4,721,338,944
  5. Step 5: Solve for x
    x = 4,721,338,944/31,494
  6. Step 6: Final answer
    x = 149,912.33

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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.