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Finding the Third Proportional to 121,162 and 183,923

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Solution

The third proportional to 121,162 and 183,923 is: 279,193.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,162 : 183,923 = 183,923 : x
  2. Step 2: Convert to fraction form
    121,162/183,923 = 183,923/x
  3. Step 3: Cross multiply
    121,162x = 183,923 × 183,923
  4. Step 4: Simplify right side
    121,162x = 33,827,669,929
  5. Step 5: Solve for x
    x = 33,827,669,929/121,162
  6. Step 6: Final answer
    x = 279,193.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.