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Finding the Third Proportional to 50,224 and 110,096

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Solution

The third proportional to 50,224 and 110,096 is: 241,341.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,224 : 110,096 = 110,096 : x
  2. Step 2: Convert to fraction form
    50,224/110,096 = 110,096/x
  3. Step 3: Cross multiply
    50,224x = 110,096 × 110,096
  4. Step 4: Simplify right side
    50,224x = 12,121,129,216
  5. Step 5: Solve for x
    x = 12,121,129,216/50,224
  6. Step 6: Final answer
    x = 241,341.37

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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.