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Finding the Third Proportional to 55,974 and 120,228

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Solution

The third proportional to 55,974 and 120,228 is: 258,240.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,974 : 120,228 = 120,228 : x
  2. Step 2: Convert to fraction form
    55,974/120,228 = 120,228/x
  3. Step 3: Cross multiply
    55,974x = 120,228 × 120,228
  4. Step 4: Simplify right side
    55,974x = 14,454,771,984
  5. Step 5: Solve for x
    x = 14,454,771,984/55,974
  6. Step 6: Final answer
    x = 258,240.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.