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Finding the Third Proportional to 126,387 and 275,091.75

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Solution

The third proportional to 126,387 and 275,091.75 is: 598,759.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,387 : 275,091.75 = 275,091.75 : x
  2. Step 2: Convert to fraction form
    126,387/275,091.75 = 275,091.75/x
  3. Step 3: Cross multiply
    126,387x = 275,091.75 × 275,091.75
  4. Step 4: Simplify right side
    126,387x = 75,675,470,918.06
  5. Step 5: Solve for x
    x = 75,675,470,918.06/126,387
  6. Step 6: Final answer
    x = 598,759.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.