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Finding the Third Proportional to 95,144 and 205,008

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Solution

The third proportional to 95,144 and 205,008 is: 441,733.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,144 : 205,008 = 205,008 : x
  2. Step 2: Convert to fraction form
    95,144/205,008 = 205,008/x
  3. Step 3: Cross multiply
    95,144x = 205,008 × 205,008
  4. Step 4: Simplify right side
    95,144x = 42,028,280,064
  5. Step 5: Solve for x
    x = 42,028,280,064/95,144
  6. Step 6: Final answer
    x = 441,733.37

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.