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Finding the Third Proportional to 126,884 and 197,589

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Solution

The third proportional to 126,884 and 197,589 is: 307,693.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,884 : 197,589 = 197,589 : x
  2. Step 2: Convert to fraction form
    126,884/197,589 = 197,589/x
  3. Step 3: Cross multiply
    126,884x = 197,589 × 197,589
  4. Step 4: Simplify right side
    126,884x = 39,041,412,921
  5. Step 5: Solve for x
    x = 39,041,412,921/126,884
  6. Step 6: Final answer
    x = 307,693.74

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.