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Finding the Third Proportional to 31,263 and 67,512

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Solution

The third proportional to 31,263 and 67,512 is: 145,791.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,263 : 67,512 = 67,512 : x
  2. Step 2: Convert to fraction form
    31,263/67,512 = 67,512/x
  3. Step 3: Cross multiply
    31,263x = 67,512 × 67,512
  4. Step 4: Simplify right side
    31,263x = 4,557,870,144
  5. Step 5: Solve for x
    x = 4,557,870,144/31,263
  6. Step 6: Final answer
    x = 145,791.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.