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Finding the Third Proportional to 55,694 and 120,081

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Solution

The third proportional to 55,694 and 120,081 is: 258,904.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,694 : 120,081 = 120,081 : x
  2. Step 2: Convert to fraction form
    55,694/120,081 = 120,081/x
  3. Step 3: Cross multiply
    55,694x = 120,081 × 120,081
  4. Step 4: Simplify right side
    55,694x = 14,419,446,561
  5. Step 5: Solve for x
    x = 14,419,446,561/55,694
  6. Step 6: Final answer
    x = 258,904.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.