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Finding the Third Proportional to 50,202 and 109,149

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Solution

The third proportional to 50,202 and 109,149 is: 237,311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,202 : 109,149 = 109,149 : x
  2. Step 2: Convert to fraction form
    50,202/109,149 = 109,149/x
  3. Step 3: Cross multiply
    50,202x = 109,149 × 109,149
  4. Step 4: Simplify right side
    50,202x = 11,913,504,201
  5. Step 5: Solve for x
    x = 11,913,504,201/50,202
  6. Step 6: Final answer
    x = 237,311.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.