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Finding the Third Proportional to 50,656 and 110,636

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Solution

The third proportional to 50,656 and 110,636 is: 241,636.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,656 : 110,636 = 110,636 : x
  2. Step 2: Convert to fraction form
    50,656/110,636 = 110,636/x
  3. Step 3: Cross multiply
    50,656x = 110,636 × 110,636
  4. Step 4: Simplify right side
    50,656x = 12,240,324,496
  5. Step 5: Solve for x
    x = 12,240,324,496/50,656
  6. Step 6: Final answer
    x = 241,636.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.