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Finding the Third Proportional to 50,222 and 80,274

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Solution

The third proportional to 50,222 and 80,274 is: 128,308.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,222 : 80,274 = 80,274 : x
  2. Step 2: Convert to fraction form
    50,222/80,274 = 80,274/x
  3. Step 3: Cross multiply
    50,222x = 80,274 × 80,274
  4. Step 4: Simplify right side
    50,222x = 6,443,915,076
  5. Step 5: Solve for x
    x = 6,443,915,076/50,222
  6. Step 6: Final answer
    x = 128,308.61

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.