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Finding the Third Proportional to 51,472 and 80,214

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Solution

The third proportional to 51,472 and 80,214 is: 125,005.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,472 : 80,214 = 80,214 : x
  2. Step 2: Convert to fraction form
    51,472/80,214 = 80,214/x
  3. Step 3: Cross multiply
    51,472x = 80,214 × 80,214
  4. Step 4: Simplify right side
    51,472x = 6,434,285,796
  5. Step 5: Solve for x
    x = 6,434,285,796/51,472
  6. Step 6: Final answer
    x = 125,005.55

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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.