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Finding the Third Proportional to 90,036 and 193,923

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Solution

The third proportional to 90,036 and 193,923 is: 417,678.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,036 : 193,923 = 193,923 : x
  2. Step 2: Convert to fraction form
    90,036/193,923 = 193,923/x
  3. Step 3: Cross multiply
    90,036x = 193,923 × 193,923
  4. Step 4: Simplify right side
    90,036x = 37,606,129,929
  5. Step 5: Solve for x
    x = 37,606,129,929/90,036
  6. Step 6: Final answer
    x = 417,678.82

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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.