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Finding the Third Proportional to 94,867 and 126,945

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Solution

The third proportional to 94,867 and 126,945 is: 169,869.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,867 : 126,945 = 126,945 : x
  2. Step 2: Convert to fraction form
    94,867/126,945 = 126,945/x
  3. Step 3: Cross multiply
    94,867x = 126,945 × 126,945
  4. Step 4: Simplify right side
    94,867x = 16,115,033,025
  5. Step 5: Solve for x
    x = 16,115,033,025/94,867
  6. Step 6: Final answer
    x = 169,869.74

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.