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Finding the Third Proportional to 95,361 and 209,765

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Solution

The third proportional to 95,361 and 209,765 is: 461,418.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,361 : 209,765 = 209,765 : x
  2. Step 2: Convert to fraction form
    95,361/209,765 = 209,765/x
  3. Step 3: Cross multiply
    95,361x = 209,765 × 209,765
  4. Step 4: Simplify right side
    95,361x = 44,001,355,225
  5. Step 5: Solve for x
    x = 44,001,355,225/95,361
  6. Step 6: Final answer
    x = 461,418.77

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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.