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Finding the Third Proportional to 31,605.19 and 68,743.69

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Solution

The third proportional to 31,605.19 and 68,743.69 is: 149,522.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,605.19 : 68,743.69 = 68,743.69 : x
  2. Step 2: Convert to fraction form
    31,605.19/68,743.69 = 68,743.69/x
  3. Step 3: Cross multiply
    31,605.19x = 68,743.69 × 68,743.69
  4. Step 4: Simplify right side
    31,605.19x = 4,725,694,571.10
  5. Step 5: Solve for x
    x = 4,725,694,571.10/31,605.19
  6. Step 6: Final answer
    x = 149,522.75

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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.