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Finding the Third Proportional to 95,760 and 208,301

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Solution

The third proportional to 95,760 and 208,301 is: 453,104.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,760 : 208,301 = 208,301 : x
  2. Step 2: Convert to fraction form
    95,760/208,301 = 208,301/x
  3. Step 3: Cross multiply
    95,760x = 208,301 × 208,301
  4. Step 4: Simplify right side
    95,760x = 43,389,306,601
  5. Step 5: Solve for x
    x = 43,389,306,601/95,760
  6. Step 6: Final answer
    x = 453,104.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.