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Finding the Third Proportional to 31,363 and 67,042

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Solution

The third proportional to 31,363 and 67,042 is: 143,309.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,363 : 67,042 = 67,042 : x
  2. Step 2: Convert to fraction form
    31,363/67,042 = 67,042/x
  3. Step 3: Cross multiply
    31,363x = 67,042 × 67,042
  4. Step 4: Simplify right side
    31,363x = 4,494,629,764
  5. Step 5: Solve for x
    x = 4,494,629,764/31,363
  6. Step 6: Final answer
    x = 143,309.94

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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.