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Finding the Third Proportional to 50,896.69 and 78,187.78

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Solution

The third proportional to 50,896.69 and 78,187.78 is: 120,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,896.69 : 78,187.78 = 78,187.78 : x
  2. Step 2: Convert to fraction form
    50,896.69/78,187.78 = 78,187.78/x
  3. Step 3: Cross multiply
    50,896.69x = 78,187.78 × 78,187.78
  4. Step 4: Simplify right side
    50,896.69x = 6,113,329,136.80
  5. Step 5: Solve for x
    x = 6,113,329,136.80/50,896.69
  6. Step 6: Final answer
    x = 120,112.51

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.