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Finding the Third Proportional to 55,544 and 120,568

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Solution

The third proportional to 55,544 and 120,568 is: 261,714.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,544 : 120,568 = 120,568 : x
  2. Step 2: Convert to fraction form
    55,544/120,568 = 120,568/x
  3. Step 3: Cross multiply
    55,544x = 120,568 × 120,568
  4. Step 4: Simplify right side
    55,544x = 14,536,642,624
  5. Step 5: Solve for x
    x = 14,536,642,624/55,544
  6. Step 6: Final answer
    x = 261,714.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.