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Finding the Third Proportional to 87,201.56 and 178,103.81

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Solution

The third proportional to 87,201.56 and 178,103.81 is: 363,766.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,201.56 : 178,103.81 = 178,103.81 : x
  2. Step 2: Convert to fraction form
    87,201.56/178,103.81 = 178,103.81/x
  3. Step 3: Cross multiply
    87,201.56x = 178,103.81 × 178,103.81
  4. Step 4: Simplify right side
    87,201.56x = 31,720,968,027.04
  5. Step 5: Solve for x
    x = 31,720,968,027.04/87,201.56
  6. Step 6: Final answer
    x = 363,766.05

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.