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Finding the Third Proportional to 82,992 and 126,918

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Solution

The third proportional to 82,992 and 126,918 is: 194,093.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,992 : 126,918 = 126,918 : x
  2. Step 2: Convert to fraction form
    82,992/126,918 = 126,918/x
  3. Step 3: Cross multiply
    82,992x = 126,918 × 126,918
  4. Step 4: Simplify right side
    82,992x = 16,108,178,724
  5. Step 5: Solve for x
    x = 16,108,178,724/82,992
  6. Step 6: Final answer
    x = 194,093.15

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.