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Finding the Third Proportional to 50,718.54 and 78,846.44

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Solution

The third proportional to 50,718.54 and 78,846.44 is: 122,573.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,718.54 : 78,846.44 = 78,846.44 : x
  2. Step 2: Convert to fraction form
    50,718.54/78,846.44 = 78,846.44/x
  3. Step 3: Cross multiply
    50,718.54x = 78,846.44 × 78,846.44
  4. Step 4: Simplify right side
    50,718.54x = 6,216,761,129.93
  5. Step 5: Solve for x
    x = 6,216,761,129.93/50,718.54
  6. Step 6: Final answer
    x = 122,573.75

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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.