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Finding the Third Proportional to 54,165 and 120,777.38

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Solution

The third proportional to 54,165 and 120,777.38 is: 269,309.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,165 : 120,777.38 = 120,777.38 : x
  2. Step 2: Convert to fraction form
    54,165/120,777.38 = 120,777.38/x
  3. Step 3: Cross multiply
    54,165x = 120,777.38 × 120,777.38
  4. Step 4: Simplify right side
    54,165x = 14,587,174,311.89
  5. Step 5: Solve for x
    x = 14,587,174,311.89/54,165
  6. Step 6: Final answer
    x = 269,309.97

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.