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Finding the Third Proportional to 55,974.38 and 120,966.75

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Solution

The third proportional to 55,974.38 and 120,966.75 is: 261,422.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,974.38 : 120,966.75 = 120,966.75 : x
  2. Step 2: Convert to fraction form
    55,974.38/120,966.75 = 120,966.75/x
  3. Step 3: Cross multiply
    55,974.38x = 120,966.75 × 120,966.75
  4. Step 4: Simplify right side
    55,974.38x = 14,632,954,605.56
  5. Step 5: Solve for x
    x = 14,632,954,605.56/55,974.38
  6. Step 6: Final answer
    x = 261,422.38

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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.