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Finding the Third Proportional to 134,921 and 194,920

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Solution

The third proportional to 134,921 and 194,920 is: 281,600.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,921 : 194,920 = 194,920 : x
  2. Step 2: Convert to fraction form
    134,921/194,920 = 194,920/x
  3. Step 3: Cross multiply
    134,921x = 194,920 × 194,920
  4. Step 4: Simplify right side
    134,921x = 37,993,806,400
  5. Step 5: Solve for x
    x = 37,993,806,400/134,921
  6. Step 6: Final answer
    x = 281,600.39

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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.