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Finding the Third Proportional to 31,147.03 and 73,122.75

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Solution

The third proportional to 31,147.03 and 73,122.75 is: 171,667.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,147.03 : 73,122.75 = 73,122.75 : x
  2. Step 2: Convert to fraction form
    31,147.03/73,122.75 = 73,122.75/x
  3. Step 3: Cross multiply
    31,147.03x = 73,122.75 × 73,122.75
  4. Step 4: Simplify right side
    31,147.03x = 5,346,936,567.56
  5. Step 5: Solve for x
    x = 5,346,936,567.56/31,147.03
  6. Step 6: Final answer
    x = 171,667.61

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.