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Finding the Third Proportional to 126,926 and 275,735

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Solution

The third proportional to 126,926 and 275,735 is: 599,008.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,926 : 275,735 = 275,735 : x
  2. Step 2: Convert to fraction form
    126,926/275,735 = 275,735/x
  3. Step 3: Cross multiply
    126,926x = 275,735 × 275,735
  4. Step 4: Simplify right side
    126,926x = 76,029,790,225
  5. Step 5: Solve for x
    x = 76,029,790,225/126,926
  6. Step 6: Final answer
    x = 599,008.79

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Why These Related Problems?

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