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Finding the Third Proportional to 129,846 and 194,253

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Solution

The third proportional to 129,846 and 194,253 is: 290,607.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,846 : 194,253 = 194,253 : x
  2. Step 2: Convert to fraction form
    129,846/194,253 = 194,253/x
  3. Step 3: Cross multiply
    129,846x = 194,253 × 194,253
  4. Step 4: Simplify right side
    129,846x = 37,734,228,009
  5. Step 5: Solve for x
    x = 37,734,228,009/129,846
  6. Step 6: Final answer
    x = 290,607.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.