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Finding the Third Proportional to 54,381.38 and 81,906.19

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Solution

The third proportional to 54,381.38 and 81,906.19 is: 123,362.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,381.38 : 81,906.19 = 81,906.19 : x
  2. Step 2: Convert to fraction form
    54,381.38/81,906.19 = 81,906.19/x
  3. Step 3: Cross multiply
    54,381.38x = 81,906.19 × 81,906.19
  4. Step 4: Simplify right side
    54,381.38x = 6,708,623,550.79
  5. Step 5: Solve for x
    x = 6,708,623,550.79/54,381.38
  6. Step 6: Final answer
    x = 123,362.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.