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Finding the Third Proportional to 50,362 and 109,714

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Solution

The third proportional to 50,362 and 109,714 is: 239,012.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,362 : 109,714 = 109,714 : x
  2. Step 2: Convert to fraction form
    50,362/109,714 = 109,714/x
  3. Step 3: Cross multiply
    50,362x = 109,714 × 109,714
  4. Step 4: Simplify right side
    50,362x = 12,037,161,796
  5. Step 5: Solve for x
    x = 12,037,161,796/50,362
  6. Step 6: Final answer
    x = 239,012.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.