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Finding the Third Proportional to 55,448 and 120,374

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Solution

The third proportional to 55,448 and 120,374 is: 261,324.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,448 : 120,374 = 120,374 : x
  2. Step 2: Convert to fraction form
    55,448/120,374 = 120,374/x
  3. Step 3: Cross multiply
    55,448x = 120,374 × 120,374
  4. Step 4: Simplify right side
    55,448x = 14,489,899,876
  5. Step 5: Solve for x
    x = 14,489,899,876/55,448
  6. Step 6: Final answer
    x = 261,324.12

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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.