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Finding the Third Proportional to 50,656 and 111,104

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Solution

The third proportional to 50,656 and 111,104 is: 243,684.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,656 : 111,104 = 111,104 : x
  2. Step 2: Convert to fraction form
    50,656/111,104 = 111,104/x
  3. Step 3: Cross multiply
    50,656x = 111,104 × 111,104
  4. Step 4: Simplify right side
    50,656x = 12,344,098,816
  5. Step 5: Solve for x
    x = 12,344,098,816/50,656
  6. Step 6: Final answer
    x = 243,684.83

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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.