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Finding the Third Proportional to 87,944 and 178,995

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Solution

The third proportional to 87,944 and 178,995 is: 364,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,944 : 178,995 = 178,995 : x
  2. Step 2: Convert to fraction form
    87,944/178,995 = 178,995/x
  3. Step 3: Cross multiply
    87,944x = 178,995 × 178,995
  4. Step 4: Simplify right side
    87,944x = 32,039,210,025
  5. Step 5: Solve for x
    x = 32,039,210,025/87,944
  6. Step 6: Final answer
    x = 364,313.77

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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.