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Finding the Third Proportional to 95,776 and 202,016

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Solution

The third proportional to 95,776 and 202,016 is: 426,103.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,776 : 202,016 = 202,016 : x
  2. Step 2: Convert to fraction form
    95,776/202,016 = 202,016/x
  3. Step 3: Cross multiply
    95,776x = 202,016 × 202,016
  4. Step 4: Simplify right side
    95,776x = 40,810,464,256
  5. Step 5: Solve for x
    x = 40,810,464,256/95,776
  6. Step 6: Final answer
    x = 426,103.24

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.