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Finding the Third Proportional to 95,530 and 207,643

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Solution

The third proportional to 95,530 and 207,643 is: 451,330.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,530 : 207,643 = 207,643 : x
  2. Step 2: Convert to fraction form
    95,530/207,643 = 207,643/x
  3. Step 3: Cross multiply
    95,530x = 207,643 × 207,643
  4. Step 4: Simplify right side
    95,530x = 43,115,615,449
  5. Step 5: Solve for x
    x = 43,115,615,449/95,530
  6. Step 6: Final answer
    x = 451,330.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.