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Finding the Third Proportional to 126,591 and 190,698

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Solution

The third proportional to 126,591 and 190,698 is: 287,269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,591 : 190,698 = 190,698 : x
  2. Step 2: Convert to fraction form
    126,591/190,698 = 190,698/x
  3. Step 3: Cross multiply
    126,591x = 190,698 × 190,698
  4. Step 4: Simplify right side
    126,591x = 36,365,727,204
  5. Step 5: Solve for x
    x = 36,365,727,204/126,591
  6. Step 6: Final answer
    x = 287,269.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.