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Finding the Third Proportional to 126,135 and 275,922

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Solution

The third proportional to 126,135 and 275,922 is: 603,583.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,135 : 275,922 = 275,922 : x
  2. Step 2: Convert to fraction form
    126,135/275,922 = 275,922/x
  3. Step 3: Cross multiply
    126,135x = 275,922 × 275,922
  4. Step 4: Simplify right side
    126,135x = 76,132,950,084
  5. Step 5: Solve for x
    x = 76,132,950,084/126,135
  6. Step 6: Final answer
    x = 603,583.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.