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Finding the Third Proportional to 47,327 and 101,944

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Solution

The third proportional to 47,327 and 101,944 is: 219,590.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,327 : 101,944 = 101,944 : x
  2. Step 2: Convert to fraction form
    47,327/101,944 = 101,944/x
  3. Step 3: Cross multiply
    47,327x = 101,944 × 101,944
  4. Step 4: Simplify right side
    47,327x = 10,392,579,136
  5. Step 5: Solve for x
    x = 10,392,579,136/47,327
  6. Step 6: Final answer
    x = 219,590.91

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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.