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Finding the Third Proportional to 107,919 and 252,063

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Solution

The third proportional to 107,919 and 252,063 is: 588,735.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,919 : 252,063 = 252,063 : x
  2. Step 2: Convert to fraction form
    107,919/252,063 = 252,063/x
  3. Step 3: Cross multiply
    107,919x = 252,063 × 252,063
  4. Step 4: Simplify right side
    107,919x = 63,535,755,969
  5. Step 5: Solve for x
    x = 63,535,755,969/107,919
  6. Step 6: Final answer
    x = 588,735.59

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.