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Finding the Third Proportional to 50,147 and 110,135

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Solution

The third proportional to 50,147 and 110,135 is: 241,883.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,147 : 110,135 = 110,135 : x
  2. Step 2: Convert to fraction form
    50,147/110,135 = 110,135/x
  3. Step 3: Cross multiply
    50,147x = 110,135 × 110,135
  4. Step 4: Simplify right side
    50,147x = 12,129,718,225
  5. Step 5: Solve for x
    x = 12,129,718,225/50,147
  6. Step 6: Final answer
    x = 241,883.23

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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.