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Finding the Third Proportional to 78,852 and 119,094

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Solution

The third proportional to 78,852 and 119,094 is: 179,873.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,852 : 119,094 = 119,094 : x
  2. Step 2: Convert to fraction form
    78,852/119,094 = 119,094/x
  3. Step 3: Cross multiply
    78,852x = 119,094 × 119,094
  4. Step 4: Simplify right side
    78,852x = 14,183,380,836
  5. Step 5: Solve for x
    x = 14,183,380,836/78,852
  6. Step 6: Final answer
    x = 179,873.44

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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.