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Finding the Third Proportional to 53,462 and 80,193

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Solution

The third proportional to 53,462 and 80,193 is: 120,289.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,462 : 80,193 = 80,193 : x
  2. Step 2: Convert to fraction form
    53,462/80,193 = 80,193/x
  3. Step 3: Cross multiply
    53,462x = 80,193 × 80,193
  4. Step 4: Simplify right side
    53,462x = 6,430,917,249
  5. Step 5: Solve for x
    x = 6,430,917,249/53,462
  6. Step 6: Final answer
    x = 120,289.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.