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Finding the Third Proportional to 81,048 and 126,494

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Solution

The third proportional to 81,048 and 126,494 is: 197,422.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,048 : 126,494 = 126,494 : x
  2. Step 2: Convert to fraction form
    81,048/126,494 = 126,494/x
  3. Step 3: Cross multiply
    81,048x = 126,494 × 126,494
  4. Step 4: Simplify right side
    81,048x = 16,000,732,036
  5. Step 5: Solve for x
    x = 16,000,732,036/81,048
  6. Step 6: Final answer
    x = 197,422.91

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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.