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Finding the Third Proportional to 50,608.13 and 78,193.69

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Solution

The third proportional to 50,608.13 and 78,193.69 is: 120,815.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,608.13 : 78,193.69 = 78,193.69 : x
  2. Step 2: Convert to fraction form
    50,608.13/78,193.69 = 78,193.69/x
  3. Step 3: Cross multiply
    50,608.13x = 78,193.69 × 78,193.69
  4. Step 4: Simplify right side
    50,608.13x = 6,114,252,764.85
  5. Step 5: Solve for x
    x = 6,114,252,764.85/50,608.13
  6. Step 6: Final answer
    x = 120,815.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.