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Finding the Third Proportional to 108,627 and 227,175

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Solution

The third proportional to 108,627 and 227,175 is: 475,098.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,627 : 227,175 = 227,175 : x
  2. Step 2: Convert to fraction form
    108,627/227,175 = 227,175/x
  3. Step 3: Cross multiply
    108,627x = 227,175 × 227,175
  4. Step 4: Simplify right side
    108,627x = 51,608,480,625
  5. Step 5: Solve for x
    x = 51,608,480,625/108,627
  6. Step 6: Final answer
    x = 475,098.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.