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Finding the Third Proportional to 50,478.54 and 78,151.92

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Solution

The third proportional to 50,478.54 and 78,151.92 is: 120,996.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,478.54 : 78,151.92 = 78,151.92 : x
  2. Step 2: Convert to fraction form
    50,478.54/78,151.92 = 78,151.92/x
  3. Step 3: Cross multiply
    50,478.54x = 78,151.92 × 78,151.92
  4. Step 4: Simplify right side
    50,478.54x = 6,107,722,892.76
  5. Step 5: Solve for x
    x = 6,107,722,892.76/50,478.54
  6. Step 6: Final answer
    x = 120,996.43

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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.