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Finding the Third Proportional to 95,202 and 207,900

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Solution

The third proportional to 95,202 and 207,900 is: 454,007.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,202 : 207,900 = 207,900 : x
  2. Step 2: Convert to fraction form
    95,202/207,900 = 207,900/x
  3. Step 3: Cross multiply
    95,202x = 207,900 × 207,900
  4. Step 4: Simplify right side
    95,202x = 43,222,410,000
  5. Step 5: Solve for x
    x = 43,222,410,000/95,202
  6. Step 6: Final answer
    x = 454,007.37

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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.