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Finding the Third Proportional to 54,919 and 120,529

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Solution

The third proportional to 54,919 and 120,529 is: 264,521.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,919 : 120,529 = 120,529 : x
  2. Step 2: Convert to fraction form
    54,919/120,529 = 120,529/x
  3. Step 3: Cross multiply
    54,919x = 120,529 × 120,529
  4. Step 4: Simplify right side
    54,919x = 14,527,239,841
  5. Step 5: Solve for x
    x = 14,527,239,841/54,919
  6. Step 6: Final answer
    x = 264,521.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.