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Finding the Third Proportional to 131,241 and 194,094

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Solution

The third proportional to 131,241 and 194,094 is: 287,048.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,241 : 194,094 = 194,094 : x
  2. Step 2: Convert to fraction form
    131,241/194,094 = 194,094/x
  3. Step 3: Cross multiply
    131,241x = 194,094 × 194,094
  4. Step 4: Simplify right side
    131,241x = 37,672,480,836
  5. Step 5: Solve for x
    x = 37,672,480,836/131,241
  6. Step 6: Final answer
    x = 287,048.11

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.