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Finding the Third Proportional to 80,478 and 125,318

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Solution

The third proportional to 80,478 and 125,318 is: 195,141.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,478 : 125,318 = 125,318 : x
  2. Step 2: Convert to fraction form
    80,478/125,318 = 125,318/x
  3. Step 3: Cross multiply
    80,478x = 125,318 × 125,318
  4. Step 4: Simplify right side
    80,478x = 15,704,601,124
  5. Step 5: Solve for x
    x = 15,704,601,124/80,478
  6. Step 6: Final answer
    x = 195,141.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.