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Finding the Third Proportional to 31,519.13 and 67,209.75

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Solution

The third proportional to 31,519.13 and 67,209.75 is: 143,314.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,519.13 : 67,209.75 = 67,209.75 : x
  2. Step 2: Convert to fraction form
    31,519.13/67,209.75 = 67,209.75/x
  3. Step 3: Cross multiply
    31,519.13x = 67,209.75 × 67,209.75
  4. Step 4: Simplify right side
    31,519.13x = 4,517,150,495.06
  5. Step 5: Solve for x
    x = 4,517,150,495.06/31,519.13
  6. Step 6: Final answer
    x = 143,314.59

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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.