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Finding the Third Proportional to 126,249 and 194,040

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Solution

The third proportional to 126,249 and 194,040 is: 298,232.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,249 : 194,040 = 194,040 : x
  2. Step 2: Convert to fraction form
    126,249/194,040 = 194,040/x
  3. Step 3: Cross multiply
    126,249x = 194,040 × 194,040
  4. Step 4: Simplify right side
    126,249x = 37,651,521,600
  5. Step 5: Solve for x
    x = 37,651,521,600/126,249
  6. Step 6: Final answer
    x = 298,232.24

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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.