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Finding the Third Proportional to 101,073 and 214,469

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Solution

The third proportional to 101,073 and 214,469 is: 455,086.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,073 : 214,469 = 214,469 : x
  2. Step 2: Convert to fraction form
    101,073/214,469 = 214,469/x
  3. Step 3: Cross multiply
    101,073x = 214,469 × 214,469
  4. Step 4: Simplify right side
    101,073x = 45,996,951,961
  5. Step 5: Solve for x
    x = 45,996,951,961/101,073
  6. Step 6: Final answer
    x = 455,086.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.