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Finding the Third Proportional to 47,946 and 106,372

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Solution

The third proportional to 47,946 and 106,372 is: 235,994.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,946 : 106,372 = 106,372 : x
  2. Step 2: Convert to fraction form
    47,946/106,372 = 106,372/x
  3. Step 3: Cross multiply
    47,946x = 106,372 × 106,372
  4. Step 4: Simplify right side
    47,946x = 11,315,002,384
  5. Step 5: Solve for x
    x = 11,315,002,384/47,946
  6. Step 6: Final answer
    x = 235,994.71

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.