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Finding the Third Proportional to 50,203 and 108,181

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Solution

The third proportional to 50,203 and 108,181 is: 233,116.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,203 : 108,181 = 108,181 : x
  2. Step 2: Convert to fraction form
    50,203/108,181 = 108,181/x
  3. Step 3: Cross multiply
    50,203x = 108,181 × 108,181
  4. Step 4: Simplify right side
    50,203x = 11,703,128,761
  5. Step 5: Solve for x
    x = 11,703,128,761/50,203
  6. Step 6: Final answer
    x = 233,116.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.