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Finding the Third Proportional to 87,942 and 178,991

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Solution

The third proportional to 87,942 and 178,991 is: 364,305.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,942 : 178,991 = 178,991 : x
  2. Step 2: Convert to fraction form
    87,942/178,991 = 178,991/x
  3. Step 3: Cross multiply
    87,942x = 178,991 × 178,991
  4. Step 4: Simplify right side
    87,942x = 32,037,778,081
  5. Step 5: Solve for x
    x = 32,037,778,081/87,942
  6. Step 6: Final answer
    x = 364,305.77

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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.