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Finding the Third Proportional to 56,027 and 119,542

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Solution

The third proportional to 56,027 and 119,542 is: 255,060.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,027 : 119,542 = 119,542 : x
  2. Step 2: Convert to fraction form
    56,027/119,542 = 119,542/x
  3. Step 3: Cross multiply
    56,027x = 119,542 × 119,542
  4. Step 4: Simplify right side
    56,027x = 14,290,289,764
  5. Step 5: Solve for x
    x = 14,290,289,764/56,027
  6. Step 6: Final answer
    x = 255,060.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.