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Finding the Third Proportional to 31,956 and 68,520

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Solution

The third proportional to 31,956 and 68,520 is: 146,920.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,956 : 68,520 = 68,520 : x
  2. Step 2: Convert to fraction form
    31,956/68,520 = 68,520/x
  3. Step 3: Cross multiply
    31,956x = 68,520 × 68,520
  4. Step 4: Simplify right side
    31,956x = 4,694,990,400
  5. Step 5: Solve for x
    x = 4,694,990,400/31,956
  6. Step 6: Final answer
    x = 146,920.47

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.