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Finding the Third Proportional to 140,236 and 188,958

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Solution

The third proportional to 140,236 and 188,958 is: 254,607.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,236 : 188,958 = 188,958 : x
  2. Step 2: Convert to fraction form
    140,236/188,958 = 188,958/x
  3. Step 3: Cross multiply
    140,236x = 188,958 × 188,958
  4. Step 4: Simplify right side
    140,236x = 35,705,125,764
  5. Step 5: Solve for x
    x = 35,705,125,764/140,236
  6. Step 6: Final answer
    x = 254,607.42

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.