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Finding the Third Proportional to 128,814 and 194,193

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Solution

The third proportional to 128,814 and 194,193 is: 292,754.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,814 : 194,193 = 194,193 : x
  2. Step 2: Convert to fraction form
    128,814/194,193 = 194,193/x
  3. Step 3: Cross multiply
    128,814x = 194,193 × 194,193
  4. Step 4: Simplify right side
    128,814x = 37,710,921,249
  5. Step 5: Solve for x
    x = 37,710,921,249/128,814
  6. Step 6: Final answer
    x = 292,754.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.