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Finding the Third Proportional to 31,013 and 67,555

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Solution

The third proportional to 31,013 and 67,555 is: 147,153.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,013 : 67,555 = 67,555 : x
  2. Step 2: Convert to fraction form
    31,013/67,555 = 67,555/x
  3. Step 3: Cross multiply
    31,013x = 67,555 × 67,555
  4. Step 4: Simplify right side
    31,013x = 4,563,678,025
  5. Step 5: Solve for x
    x = 4,563,678,025/31,013
  6. Step 6: Final answer
    x = 147,153.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.