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Finding the Third Proportional to 71,540.72 and 155,383.31

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Solution

The third proportional to 71,540.72 and 155,383.31 is: 337,485.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,540.72 : 155,383.31 = 155,383.31 : x
  2. Step 2: Convert to fraction form
    71,540.72/155,383.31 = 155,383.31/x
  3. Step 3: Cross multiply
    71,540.72x = 155,383.31 × 155,383.31
  4. Step 4: Simplify right side
    71,540.72x = 24,143,973,803.47
  5. Step 5: Solve for x
    x = 24,143,973,803.47/71,540.72
  6. Step 6: Final answer
    x = 337,485.76

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.