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Finding the Third Proportional to 54,936 and 120,568

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Solution

The third proportional to 54,936 and 120,568 is: 264,610.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,936 : 120,568 = 120,568 : x
  2. Step 2: Convert to fraction form
    54,936/120,568 = 120,568/x
  3. Step 3: Cross multiply
    54,936x = 120,568 × 120,568
  4. Step 4: Simplify right side
    54,936x = 14,536,642,624
  5. Step 5: Solve for x
    x = 14,536,642,624/54,936
  6. Step 6: Final answer
    x = 264,610.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.