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Finding the Third Proportional to 50,451 and 110,742

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Solution

The third proportional to 50,451 and 110,742 is: 243,083.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,451 : 110,742 = 110,742 : x
  2. Step 2: Convert to fraction form
    50,451/110,742 = 110,742/x
  3. Step 3: Cross multiply
    50,451x = 110,742 × 110,742
  4. Step 4: Simplify right side
    50,451x = 12,263,790,564
  5. Step 5: Solve for x
    x = 12,263,790,564/50,451
  6. Step 6: Final answer
    x = 243,083.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.