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Finding the Third Proportional to 49,102 and 76,811

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Solution

The third proportional to 49,102 and 76,811 is: 120,156.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,102 : 76,811 = 76,811 : x
  2. Step 2: Convert to fraction form
    49,102/76,811 = 76,811/x
  3. Step 3: Cross multiply
    49,102x = 76,811 × 76,811
  4. Step 4: Simplify right side
    49,102x = 5,899,929,721
  5. Step 5: Solve for x
    x = 5,899,929,721/49,102
  6. Step 6: Final answer
    x = 120,156.61

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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.