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Finding the Third Proportional to 134,858 and 194,251

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Solution

The third proportional to 134,858 and 194,251 is: 279,801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,858 : 194,251 = 194,251 : x
  2. Step 2: Convert to fraction form
    134,858/194,251 = 194,251/x
  3. Step 3: Cross multiply
    134,858x = 194,251 × 194,251
  4. Step 4: Simplify right side
    134,858x = 37,733,451,001
  5. Step 5: Solve for x
    x = 37,733,451,001/134,858
  6. Step 6: Final answer
    x = 279,801.35

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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.