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Finding the Third Proportional to 95,209 and 209,105

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Solution

The third proportional to 95,209 and 209,105 is: 459,251.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,209 : 209,105 = 209,105 : x
  2. Step 2: Convert to fraction form
    95,209/209,105 = 209,105/x
  3. Step 3: Cross multiply
    95,209x = 209,105 × 209,105
  4. Step 4: Simplify right side
    95,209x = 43,724,901,025
  5. Step 5: Solve for x
    x = 43,724,901,025/95,209
  6. Step 6: Final answer
    x = 459,251.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.