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Finding the Third Proportional to 95,751 and 203,607

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Solution

The third proportional to 95,751 and 203,607 is: 432,954.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,751 : 203,607 = 203,607 : x
  2. Step 2: Convert to fraction form
    95,751/203,607 = 203,607/x
  3. Step 3: Cross multiply
    95,751x = 203,607 × 203,607
  4. Step 4: Simplify right side
    95,751x = 41,455,810,449
  5. Step 5: Solve for x
    x = 41,455,810,449/95,751
  6. Step 6: Final answer
    x = 432,954.33

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.