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Finding the Third Proportional to 52,105.50 and 80,732.63

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Solution

The third proportional to 52,105.50 and 80,732.63 is: 125,087.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,105.50 : 80,732.63 = 80,732.63 : x
  2. Step 2: Convert to fraction form
    52,105.50/80,732.63 = 80,732.63/x
  3. Step 3: Cross multiply
    52,105.50x = 80,732.63 × 80,732.63
  4. Step 4: Simplify right side
    52,105.50x = 6,517,756,739.39
  5. Step 5: Solve for x
    x = 6,517,756,739.39/52,105.50
  6. Step 6: Final answer
    x = 125,087.69

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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.