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Finding the Third Proportional to 50,340 and 110,147

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Solution

The third proportional to 50,340 and 110,147 is: 241,008.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,340 : 110,147 = 110,147 : x
  2. Step 2: Convert to fraction form
    50,340/110,147 = 110,147/x
  3. Step 3: Cross multiply
    50,340x = 110,147 × 110,147
  4. Step 4: Simplify right side
    50,340x = 12,132,361,609
  5. Step 5: Solve for x
    x = 12,132,361,609/50,340
  6. Step 6: Final answer
    x = 241,008.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.