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Finding the Third Proportional to 31,200.50 and 71,665.25

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Solution

The third proportional to 31,200.50 and 71,665.25 is: 164,609.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,200.50 : 71,665.25 = 71,665.25 : x
  2. Step 2: Convert to fraction form
    31,200.50/71,665.25 = 71,665.25/x
  3. Step 3: Cross multiply
    31,200.50x = 71,665.25 × 71,665.25
  4. Step 4: Simplify right side
    31,200.50x = 5,135,908,057.56
  5. Step 5: Solve for x
    x = 5,135,908,057.56/31,200.50
  6. Step 6: Final answer
    x = 164,609.80

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These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.