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Finding the Third Proportional to 55,844 and 120,435

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Solution

The third proportional to 55,844 and 120,435 is: 259,734.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,844 : 120,435 = 120,435 : x
  2. Step 2: Convert to fraction form
    55,844/120,435 = 120,435/x
  3. Step 3: Cross multiply
    55,844x = 120,435 × 120,435
  4. Step 4: Simplify right side
    55,844x = 14,504,589,225
  5. Step 5: Solve for x
    x = 14,504,589,225/55,844
  6. Step 6: Final answer
    x = 259,734.07

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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.