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Finding the Third Proportional to 119,208 and 180,027

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Solution

The third proportional to 119,208 and 180,027 is: 271,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,208 : 180,027 = 180,027 : x
  2. Step 2: Convert to fraction form
    119,208/180,027 = 180,027/x
  3. Step 3: Cross multiply
    119,208x = 180,027 × 180,027
  4. Step 4: Simplify right side
    119,208x = 32,409,720,729
  5. Step 5: Solve for x
    x = 32,409,720,729/119,208
  6. Step 6: Final answer
    x = 271,875.38

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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.