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Finding the Third Proportional to 78,848 and 119,093

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Solution

The third proportional to 78,848 and 119,093 is: 179,879.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,848 : 119,093 = 119,093 : x
  2. Step 2: Convert to fraction form
    78,848/119,093 = 119,093/x
  3. Step 3: Cross multiply
    78,848x = 119,093 × 119,093
  4. Step 4: Simplify right side
    78,848x = 14,183,142,649
  5. Step 5: Solve for x
    x = 14,183,142,649/78,848
  6. Step 6: Final answer
    x = 179,879.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.