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Finding the Third Proportional to 54,414 and 119,520

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Solution

The third proportional to 54,414 and 119,520 is: 262,524.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,414 : 119,520 = 119,520 : x
  2. Step 2: Convert to fraction form
    54,414/119,520 = 119,520/x
  3. Step 3: Cross multiply
    54,414x = 119,520 × 119,520
  4. Step 4: Simplify right side
    54,414x = 14,285,030,400
  5. Step 5: Solve for x
    x = 14,285,030,400/54,414
  6. Step 6: Final answer
    x = 262,524.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.