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Finding the Third Proportional to 90,014 and 193,879

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Solution

The third proportional to 90,014 and 193,879 is: 417,591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,014 : 193,879 = 193,879 : x
  2. Step 2: Convert to fraction form
    90,014/193,879 = 193,879/x
  3. Step 3: Cross multiply
    90,014x = 193,879 × 193,879
  4. Step 4: Simplify right side
    90,014x = 37,589,066,641
  5. Step 5: Solve for x
    x = 37,589,066,641/90,014
  6. Step 6: Final answer
    x = 417,591.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.