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Finding the Third Proportional to 95,736 and 201,269

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Solution

The third proportional to 95,736 and 201,269 is: 423,134.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,736 : 201,269 = 201,269 : x
  2. Step 2: Convert to fraction form
    95,736/201,269 = 201,269/x
  3. Step 3: Cross multiply
    95,736x = 201,269 × 201,269
  4. Step 4: Simplify right side
    95,736x = 40,509,210,361
  5. Step 5: Solve for x
    x = 40,509,210,361/95,736
  6. Step 6: Final answer
    x = 423,134.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.