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Finding the Third Proportional to 134,857 and 194,257

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Solution

The third proportional to 134,857 and 194,257 is: 279,820.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,857 : 194,257 = 194,257 : x
  2. Step 2: Convert to fraction form
    134,857/194,257 = 194,257/x
  3. Step 3: Cross multiply
    134,857x = 194,257 × 194,257
  4. Step 4: Simplify right side
    134,857x = 37,735,782,049
  5. Step 5: Solve for x
    x = 37,735,782,049/134,857
  6. Step 6: Final answer
    x = 279,820.71

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