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Finding the Third Proportional to 56,766 and 122,193

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Solution

The third proportional to 56,766 and 122,193 is: 263,029.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,766 : 122,193 = 122,193 : x
  2. Step 2: Convert to fraction form
    56,766/122,193 = 122,193/x
  3. Step 3: Cross multiply
    56,766x = 122,193 × 122,193
  4. Step 4: Simplify right side
    56,766x = 14,931,129,249
  5. Step 5: Solve for x
    x = 14,931,129,249/56,766
  6. Step 6: Final answer
    x = 263,029.44

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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.