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Finding the Third Proportional to 31,759 and 67,736

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Solution

The third proportional to 31,759 and 67,736 is: 144,468.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,759 : 67,736 = 67,736 : x
  2. Step 2: Convert to fraction form
    31,759/67,736 = 67,736/x
  3. Step 3: Cross multiply
    31,759x = 67,736 × 67,736
  4. Step 4: Simplify right side
    31,759x = 4,588,165,696
  5. Step 5: Solve for x
    x = 4,588,165,696/31,759
  6. Step 6: Final answer
    x = 144,468.20

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.