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Finding the Third Proportional to 126,995.34 and 275,853.09

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Solution

The third proportional to 126,995.34 and 275,853.09 is: 599,194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,995.34 : 275,853.09 = 275,853.09 : x
  2. Step 2: Convert to fraction form
    126,995.34/275,853.09 = 275,853.09/x
  3. Step 3: Cross multiply
    126,995.34x = 275,853.09 × 275,853.09
  4. Step 4: Simplify right side
    126,995.34x = 76,094,929,331.45
  5. Step 5: Solve for x
    x = 76,094,929,331.45/126,995.34
  6. Step 6: Final answer
    x = 599,194.64

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.