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Finding the Third Proportional to 50,491 and 106,206

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Solution

The third proportional to 50,491 and 106,206 is: 223,400.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,491 : 106,206 = 106,206 : x
  2. Step 2: Convert to fraction form
    50,491/106,206 = 106,206/x
  3. Step 3: Cross multiply
    50,491x = 106,206 × 106,206
  4. Step 4: Simplify right side
    50,491x = 11,279,714,436
  5. Step 5: Solve for x
    x = 11,279,714,436/50,491
  6. Step 6: Final answer
    x = 223,400.50

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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.