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Finding the Third Proportional to 95,906 and 207,081

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Solution

The third proportional to 95,906 and 207,081 is: 447,130.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,906 : 207,081 = 207,081 : x
  2. Step 2: Convert to fraction form
    95,906/207,081 = 207,081/x
  3. Step 3: Cross multiply
    95,906x = 207,081 × 207,081
  4. Step 4: Simplify right side
    95,906x = 42,882,540,561
  5. Step 5: Solve for x
    x = 42,882,540,561/95,906
  6. Step 6: Final answer
    x = 447,130.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.