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Finding the Third Proportional to 96,736 and 203,264

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Solution

The third proportional to 96,736 and 203,264 is: 427,103.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,736 : 203,264 = 203,264 : x
  2. Step 2: Convert to fraction form
    96,736/203,264 = 203,264/x
  3. Step 3: Cross multiply
    96,736x = 203,264 × 203,264
  4. Step 4: Simplify right side
    96,736x = 41,316,253,696
  5. Step 5: Solve for x
    x = 41,316,253,696/96,736
  6. Step 6: Final answer
    x = 427,103.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.