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Finding the Third Proportional to 80,956 and 168,358

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Solution

The third proportional to 80,956 and 168,358 is: 350,121.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,956 : 168,358 = 168,358 : x
  2. Step 2: Convert to fraction form
    80,956/168,358 = 168,358/x
  3. Step 3: Cross multiply
    80,956x = 168,358 × 168,358
  4. Step 4: Simplify right side
    80,956x = 28,344,416,164
  5. Step 5: Solve for x
    x = 28,344,416,164/80,956
  6. Step 6: Final answer
    x = 350,121.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.