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Finding the Third Proportional to 95,257 and 203,627

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Solution

The third proportional to 95,257 and 203,627 is: 435,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,257 : 203,627 = 203,627 : x
  2. Step 2: Convert to fraction form
    95,257/203,627 = 203,627/x
  3. Step 3: Cross multiply
    95,257x = 203,627 × 203,627
  4. Step 4: Simplify right side
    95,257x = 41,463,955,129
  5. Step 5: Solve for x
    x = 41,463,955,129/95,257
  6. Step 6: Final answer
    x = 435,285.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.