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Finding the Third Proportional to 78,375.66 and 120,093.54

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Solution

The third proportional to 78,375.66 and 120,093.54 is: 184,017.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,375.66 : 120,093.54 = 120,093.54 : x
  2. Step 2: Convert to fraction form
    78,375.66/120,093.54 = 120,093.54/x
  3. Step 3: Cross multiply
    78,375.66x = 120,093.54 × 120,093.54
  4. Step 4: Simplify right side
    78,375.66x = 14,422,458,124.56
  5. Step 5: Solve for x
    x = 14,422,458,124.56/78,375.66
  6. Step 6: Final answer
    x = 184,017.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.