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Finding the Third Proportional to 47,982 and 102,903

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Solution

The third proportional to 47,982 and 102,903 is: 220,687.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,982 : 102,903 = 102,903 : x
  2. Step 2: Convert to fraction form
    47,982/102,903 = 102,903/x
  3. Step 3: Cross multiply
    47,982x = 102,903 × 102,903
  4. Step 4: Simplify right side
    47,982x = 10,589,027,409
  5. Step 5: Solve for x
    x = 10,589,027,409/47,982
  6. Step 6: Final answer
    x = 220,687.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.