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Finding the Third Proportional to 51,018 and 80,439.75

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Solution

The third proportional to 51,018 and 80,439.75 is: 126,828.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,018 : 80,439.75 = 80,439.75 : x
  2. Step 2: Convert to fraction form
    51,018/80,439.75 = 80,439.75/x
  3. Step 3: Cross multiply
    51,018x = 80,439.75 × 80,439.75
  4. Step 4: Simplify right side
    51,018x = 6,470,553,380.06
  5. Step 5: Solve for x
    x = 6,470,553,380.06/51,018
  6. Step 6: Final answer
    x = 126,828.83

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.