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Finding the Third Proportional to 87,961 and 178,994

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Solution

The third proportional to 87,961 and 178,994 is: 364,239.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,961 : 178,994 = 178,994 : x
  2. Step 2: Convert to fraction form
    87,961/178,994 = 178,994/x
  3. Step 3: Cross multiply
    87,961x = 178,994 × 178,994
  4. Step 4: Simplify right side
    87,961x = 32,038,852,036
  5. Step 5: Solve for x
    x = 32,038,852,036/87,961
  6. Step 6: Final answer
    x = 364,239.29

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.