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Finding the Third Proportional to 55,682 and 80,451

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Solution

The third proportional to 55,682 and 80,451 is: 116,237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,682 : 80,451 = 80,451 : x
  2. Step 2: Convert to fraction form
    55,682/80,451 = 80,451/x
  3. Step 3: Cross multiply
    55,682x = 80,451 × 80,451
  4. Step 4: Simplify right side
    55,682x = 6,472,363,401
  5. Step 5: Solve for x
    x = 6,472,363,401/55,682
  6. Step 6: Final answer
    x = 116,237.98

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.