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Finding the Third Proportional to 121,449 and 183,868

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Solution

The third proportional to 121,449 and 183,868 is: 278,367.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,449 : 183,868 = 183,868 : x
  2. Step 2: Convert to fraction form
    121,449/183,868 = 183,868/x
  3. Step 3: Cross multiply
    121,449x = 183,868 × 183,868
  4. Step 4: Simplify right side
    121,449x = 33,807,441,424
  5. Step 5: Solve for x
    x = 33,807,441,424/121,449
  6. Step 6: Final answer
    x = 278,367.39

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.