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Finding the Third Proportional to 119,956 and 178,962

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Solution

The third proportional to 119,956 and 178,962 is: 266,992.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,956 : 178,962 = 178,962 : x
  2. Step 2: Convert to fraction form
    119,956/178,962 = 178,962/x
  3. Step 3: Cross multiply
    119,956x = 178,962 × 178,962
  4. Step 4: Simplify right side
    119,956x = 32,027,397,444
  5. Step 5: Solve for x
    x = 32,027,397,444/119,956
  6. Step 6: Final answer
    x = 266,992.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.