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Finding the Third Proportional to 125,267 and 193,997

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Solution

The third proportional to 125,267 and 193,997 is: 300,436.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,267 : 193,997 = 193,997 : x
  2. Step 2: Convert to fraction form
    125,267/193,997 = 193,997/x
  3. Step 3: Cross multiply
    125,267x = 193,997 × 193,997
  4. Step 4: Simplify right side
    125,267x = 37,634,836,009
  5. Step 5: Solve for x
    x = 37,634,836,009/125,267
  6. Step 6: Final answer
    x = 300,436.95

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.