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Finding the Third Proportional to 50,597 and 108,847

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Solution

The third proportional to 50,597 and 108,847 is: 234,157.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,597 : 108,847 = 108,847 : x
  2. Step 2: Convert to fraction form
    50,597/108,847 = 108,847/x
  3. Step 3: Cross multiply
    50,597x = 108,847 × 108,847
  4. Step 4: Simplify right side
    50,597x = 11,847,669,409
  5. Step 5: Solve for x
    x = 11,847,669,409/50,597
  6. Step 6: Final answer
    x = 234,157.55

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.