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Finding the Third Proportional to 134,920 and 194,919

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Solution

The third proportional to 134,920 and 194,919 is: 281,599.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,920 : 194,919 = 194,919 : x
  2. Step 2: Convert to fraction form
    134,920/194,919 = 194,919/x
  3. Step 3: Cross multiply
    134,920x = 194,919 × 194,919
  4. Step 4: Simplify right side
    134,920x = 37,993,416,561
  5. Step 5: Solve for x
    x = 37,993,416,561/134,920
  6. Step 6: Final answer
    x = 281,599.59

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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.