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Finding the Third Proportional to 121,923 and 182,889

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Solution

The third proportional to 121,923 and 182,889 is: 274,340.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,923 : 182,889 = 182,889 : x
  2. Step 2: Convert to fraction form
    121,923/182,889 = 182,889/x
  3. Step 3: Cross multiply
    121,923x = 182,889 × 182,889
  4. Step 4: Simplify right side
    121,923x = 33,448,386,321
  5. Step 5: Solve for x
    x = 33,448,386,321/121,923
  6. Step 6: Final answer
    x = 274,340.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.