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Finding the Third Proportional to 50,481.35 and 78,156.77

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Solution

The third proportional to 50,481.35 and 78,156.77 is: 121,004.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,481.35 : 78,156.77 = 78,156.77 : x
  2. Step 2: Convert to fraction form
    50,481.35/78,156.77 = 78,156.77/x
  3. Step 3: Cross multiply
    50,481.35x = 78,156.77 × 78,156.77
  4. Step 4: Simplify right side
    50,481.35x = 6,108,481,234.16
  5. Step 5: Solve for x
    x = 6,108,481,234.16/50,481.35
  6. Step 6: Final answer
    x = 121,004.71

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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.