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Finding the Third Proportional to 50,366 and 106,714

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Solution

The third proportional to 50,366 and 106,714 is: 226,102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,366 : 106,714 = 106,714 : x
  2. Step 2: Convert to fraction form
    50,366/106,714 = 106,714/x
  3. Step 3: Cross multiply
    50,366x = 106,714 × 106,714
  4. Step 4: Simplify right side
    50,366x = 11,387,877,796
  5. Step 5: Solve for x
    x = 11,387,877,796/50,366
  6. Step 6: Final answer
    x = 226,102.49

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.