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Finding the Third Proportional to 87,956 and 178,984

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Solution

The third proportional to 87,956 and 178,984 is: 364,219.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,956 : 178,984 = 178,984 : x
  2. Step 2: Convert to fraction form
    87,956/178,984 = 178,984/x
  3. Step 3: Cross multiply
    87,956x = 178,984 × 178,984
  4. Step 4: Simplify right side
    87,956x = 32,035,272,256
  5. Step 5: Solve for x
    x = 32,035,272,256/87,956
  6. Step 6: Final answer
    x = 364,219.29

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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.