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Finding the Third Proportional to 126,492.75 and 270,918

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Solution

The third proportional to 126,492.75 and 270,918 is: 580,243.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,492.75 : 270,918 = 270,918 : x
  2. Step 2: Convert to fraction form
    126,492.75/270,918 = 270,918/x
  3. Step 3: Cross multiply
    126,492.75x = 270,918 × 270,918
  4. Step 4: Simplify right side
    126,492.75x = 73,396,562,724
  5. Step 5: Solve for x
    x = 73,396,562,724/126,492.75
  6. Step 6: Final answer
    x = 580,243.24

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.