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Finding the Third Proportional to 31,734 and 68,202

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Solution

The third proportional to 31,734 and 68,202 is: 146,578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,734 : 68,202 = 68,202 : x
  2. Step 2: Convert to fraction form
    31,734/68,202 = 68,202/x
  3. Step 3: Cross multiply
    31,734x = 68,202 × 68,202
  4. Step 4: Simplify right side
    31,734x = 4,651,512,804
  5. Step 5: Solve for x
    x = 4,651,512,804/31,734
  6. Step 6: Final answer
    x = 146,578.21

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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.