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Finding the Third Proportional to 31,062 and 67,042

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Solution

The third proportional to 31,062 and 67,042 is: 144,698.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,062 : 67,042 = 67,042 : x
  2. Step 2: Convert to fraction form
    31,062/67,042 = 67,042/x
  3. Step 3: Cross multiply
    31,062x = 67,042 × 67,042
  4. Step 4: Simplify right side
    31,062x = 4,494,629,764
  5. Step 5: Solve for x
    x = 4,494,629,764/31,062
  6. Step 6: Final answer
    x = 144,698.66

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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.