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Finding the Third Proportional to 89,544 and 193,077

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Solution

The third proportional to 89,544 and 193,077 is: 416,317.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,544 : 193,077 = 193,077 : x
  2. Step 2: Convert to fraction form
    89,544/193,077 = 193,077/x
  3. Step 3: Cross multiply
    89,544x = 193,077 × 193,077
  4. Step 4: Simplify right side
    89,544x = 37,278,727,929
  5. Step 5: Solve for x
    x = 37,278,727,929/89,544
  6. Step 6: Final answer
    x = 416,317.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.