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Finding the Third Proportional to 126,522.84 and 275,189.06

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Solution

The third proportional to 126,522.84 and 275,189.06 is: 598,540.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,522.84 : 275,189.06 = 275,189.06 : x
  2. Step 2: Convert to fraction form
    126,522.84/275,189.06 = 275,189.06/x
  3. Step 3: Cross multiply
    126,522.84x = 275,189.06 × 275,189.06
  4. Step 4: Simplify right side
    126,522.84x = 75,729,020,119.63
  5. Step 5: Solve for x
    x = 75,729,020,119.63/126,522.84
  6. Step 6: Final answer
    x = 598,540.29

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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.