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Finding the Third Proportional to 112,676 and 239,714

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Solution

The third proportional to 112,676 and 239,714 is: 509,982.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,676 : 239,714 = 239,714 : x
  2. Step 2: Convert to fraction form
    112,676/239,714 = 239,714/x
  3. Step 3: Cross multiply
    112,676x = 239,714 × 239,714
  4. Step 4: Simplify right side
    112,676x = 57,462,801,796
  5. Step 5: Solve for x
    x = 57,462,801,796/112,676
  6. Step 6: Final answer
    x = 509,982.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.