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Finding the Third Proportional to 50,174 and 108,182

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Solution

The third proportional to 50,174 and 108,182 is: 233,255.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,174 : 108,182 = 108,182 : x
  2. Step 2: Convert to fraction form
    50,174/108,182 = 108,182/x
  3. Step 3: Cross multiply
    50,174x = 108,182 × 108,182
  4. Step 4: Simplify right side
    50,174x = 11,703,345,124
  5. Step 5: Solve for x
    x = 11,703,345,124/50,174
  6. Step 6: Final answer
    x = 233,255.17

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.