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Finding the Third Proportional to 127,861 and 269,201

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Solution

The third proportional to 127,861 and 269,201 is: 566,780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,861 : 269,201 = 269,201 : x
  2. Step 2: Convert to fraction form
    127,861/269,201 = 269,201/x
  3. Step 3: Cross multiply
    127,861x = 269,201 × 269,201
  4. Step 4: Simplify right side
    127,861x = 72,469,178,401
  5. Step 5: Solve for x
    x = 72,469,178,401/127,861
  6. Step 6: Final answer
    x = 566,780.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.