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Finding the Third Proportional to 55,852 and 120,449

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Solution

The third proportional to 55,852 and 120,449 is: 259,757.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,852 : 120,449 = 120,449 : x
  2. Step 2: Convert to fraction form
    55,852/120,449 = 120,449/x
  3. Step 3: Cross multiply
    55,852x = 120,449 × 120,449
  4. Step 4: Simplify right side
    55,852x = 14,507,961,601
  5. Step 5: Solve for x
    x = 14,507,961,601/55,852
  6. Step 6: Final answer
    x = 259,757.24

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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.