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Finding the Third Proportional to 126,912 and 190,393

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Solution

The third proportional to 126,912 and 190,393 is: 285,627.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,912 : 190,393 = 190,393 : x
  2. Step 2: Convert to fraction form
    126,912/190,393 = 190,393/x
  3. Step 3: Cross multiply
    126,912x = 190,393 × 190,393
  4. Step 4: Simplify right side
    126,912x = 36,249,494,449
  5. Step 5: Solve for x
    x = 36,249,494,449/126,912
  6. Step 6: Final answer
    x = 285,627.00

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