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Finding the Third Proportional to 50,106.38 and 80,589.94

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Solution

The third proportional to 50,106.38 and 80,589.94 is: 129,619.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,106.38 : 80,589.94 = 80,589.94 : x
  2. Step 2: Convert to fraction form
    50,106.38/80,589.94 = 80,589.94/x
  3. Step 3: Cross multiply
    50,106.38x = 80,589.94 × 80,589.94
  4. Step 4: Simplify right side
    50,106.38x = 6,494,738,026.25
  5. Step 5: Solve for x
    x = 6,494,738,026.25/50,106.38
  6. Step 6: Final answer
    x = 129,619.00

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.