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Finding the Third Proportional to 31,164.75 and 68,171.63

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Solution

The third proportional to 31,164.75 and 68,171.63 is: 149,122.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,164.75 : 68,171.63 = 68,171.63 : x
  2. Step 2: Convert to fraction form
    31,164.75/68,171.63 = 68,171.63/x
  3. Step 3: Cross multiply
    31,164.75x = 68,171.63 × 68,171.63
  4. Step 4: Simplify right side
    31,164.75x = 4,647,370,455.14
  5. Step 5: Solve for x
    x = 4,647,370,455.14/31,164.75
  6. Step 6: Final answer
    x = 149,122.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.