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Finding the Third Proportional to 54,041 and 81,806

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Solution

The third proportional to 54,041 and 81,806 is: 123,836.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,041 : 81,806 = 81,806 : x
  2. Step 2: Convert to fraction form
    54,041/81,806 = 81,806/x
  3. Step 3: Cross multiply
    54,041x = 81,806 × 81,806
  4. Step 4: Simplify right side
    54,041x = 6,692,221,636
  5. Step 5: Solve for x
    x = 6,692,221,636/54,041
  6. Step 6: Final answer
    x = 123,836.01

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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.