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Finding the Third Proportional to 134,874 and 194,277

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Solution

The third proportional to 134,874 and 194,277 is: 279,843.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,874 : 194,277 = 194,277 : x
  2. Step 2: Convert to fraction form
    134,874/194,277 = 194,277/x
  3. Step 3: Cross multiply
    134,874x = 194,277 × 194,277
  4. Step 4: Simplify right side
    134,874x = 37,743,552,729
  5. Step 5: Solve for x
    x = 37,743,552,729/134,874
  6. Step 6: Final answer
    x = 279,843.06

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.