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Finding the Third Proportional to 94,861 and 126,886

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Solution

The third proportional to 94,861 and 126,886 is: 169,722.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,861 : 126,886 = 126,886 : x
  2. Step 2: Convert to fraction form
    94,861/126,886 = 126,886/x
  3. Step 3: Cross multiply
    94,861x = 126,886 × 126,886
  4. Step 4: Simplify right side
    94,861x = 16,100,056,996
  5. Step 5: Solve for x
    x = 16,100,056,996/94,861
  6. Step 6: Final answer
    x = 169,722.62

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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.