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Finding the Third Proportional to 47,273 and 101,714

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Solution

The third proportional to 47,273 and 101,714 is: 218,850.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,273 : 101,714 = 101,714 : x
  2. Step 2: Convert to fraction form
    47,273/101,714 = 101,714/x
  3. Step 3: Cross multiply
    47,273x = 101,714 × 101,714
  4. Step 4: Simplify right side
    47,273x = 10,345,737,796
  5. Step 5: Solve for x
    x = 10,345,737,796/47,273
  6. Step 6: Final answer
    x = 218,850.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.