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Finding the Third Proportional to 47,393 and 103,714

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Solution

The third proportional to 47,393 and 103,714 is: 226,965.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,393 : 103,714 = 103,714 : x
  2. Step 2: Convert to fraction form
    47,393/103,714 = 103,714/x
  3. Step 3: Cross multiply
    47,393x = 103,714 × 103,714
  4. Step 4: Simplify right side
    47,393x = 10,756,593,796
  5. Step 5: Solve for x
    x = 10,756,593,796/47,393
  6. Step 6: Final answer
    x = 226,965.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.