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Finding the Third Proportional to 126,186 and 193,955

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Solution

The third proportional to 126,186 and 193,955 is: 298,119.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,186 : 193,955 = 193,955 : x
  2. Step 2: Convert to fraction form
    126,186/193,955 = 193,955/x
  3. Step 3: Cross multiply
    126,186x = 193,955 × 193,955
  4. Step 4: Simplify right side
    126,186x = 37,618,542,025
  5. Step 5: Solve for x
    x = 37,618,542,025/126,186
  6. Step 6: Final answer
    x = 298,119.78

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.