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Finding the Third Proportional to 126,914 and 190,397

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Solution

The third proportional to 126,914 and 190,397 is: 285,634.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,914 : 190,397 = 190,397 : x
  2. Step 2: Convert to fraction form
    126,914/190,397 = 190,397/x
  3. Step 3: Cross multiply
    126,914x = 190,397 × 190,397
  4. Step 4: Simplify right side
    126,914x = 36,251,017,609
  5. Step 5: Solve for x
    x = 36,251,017,609/126,914
  6. Step 6: Final answer
    x = 285,634.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.