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Finding the Third Proportional to 31,744 and 68,270

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Solution

The third proportional to 31,744 and 68,270 is: 146,824.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,744 : 68,270 = 68,270 : x
  2. Step 2: Convert to fraction form
    31,744/68,270 = 68,270/x
  3. Step 3: Cross multiply
    31,744x = 68,270 × 68,270
  4. Step 4: Simplify right side
    31,744x = 4,660,792,900
  5. Step 5: Solve for x
    x = 4,660,792,900/31,744
  6. Step 6: Final answer
    x = 146,824.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.