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Finding the Third Proportional to 78,850 and 119,096

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Solution

The third proportional to 78,850 and 119,096 is: 179,884.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,850 : 119,096 = 119,096 : x
  2. Step 2: Convert to fraction form
    78,850/119,096 = 119,096/x
  3. Step 3: Cross multiply
    78,850x = 119,096 × 119,096
  4. Step 4: Simplify right side
    78,850x = 14,183,857,216
  5. Step 5: Solve for x
    x = 14,183,857,216/78,850
  6. Step 6: Final answer
    x = 179,884.05

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