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Finding the Third Proportional to 50,768.96 and 78,929.44

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Solution

The third proportional to 50,768.96 and 78,929.44 is: 122,709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,768.96 : 78,929.44 = 78,929.44 : x
  2. Step 2: Convert to fraction form
    50,768.96/78,929.44 = 78,929.44/x
  3. Step 3: Cross multiply
    50,768.96x = 78,929.44 × 78,929.44
  4. Step 4: Simplify right side
    50,768.96x = 6,229,856,104.07
  5. Step 5: Solve for x
    x = 6,229,856,104.07/50,768.96
  6. Step 6: Final answer
    x = 122,709.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.