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Finding the Third Proportional to 50,224 and 80,752

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Solution

The third proportional to 50,224 and 80,752 is: 129,836.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,224 : 80,752 = 80,752 : x
  2. Step 2: Convert to fraction form
    50,224/80,752 = 80,752/x
  3. Step 3: Cross multiply
    50,224x = 80,752 × 80,752
  4. Step 4: Simplify right side
    50,224x = 6,520,885,504
  5. Step 5: Solve for x
    x = 6,520,885,504/50,224
  6. Step 6: Final answer
    x = 129,836.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.