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Finding the Third Proportional to 95,276 and 203,679

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Solution

The third proportional to 95,276 and 203,679 is: 435,420.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,276 : 203,679 = 203,679 : x
  2. Step 2: Convert to fraction form
    95,276/203,679 = 203,679/x
  3. Step 3: Cross multiply
    95,276x = 203,679 × 203,679
  4. Step 4: Simplify right side
    95,276x = 41,485,135,041
  5. Step 5: Solve for x
    x = 41,485,135,041/95,276
  6. Step 6: Final answer
    x = 435,420.62

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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.