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Finding the Third Proportional to 124,012 and 275,576

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Solution

The third proportional to 124,012 and 275,576 is: 612,377.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,012 : 275,576 = 275,576 : x
  2. Step 2: Convert to fraction form
    124,012/275,576 = 275,576/x
  3. Step 3: Cross multiply
    124,012x = 275,576 × 275,576
  4. Step 4: Simplify right side
    124,012x = 75,942,131,776
  5. Step 5: Solve for x
    x = 75,942,131,776/124,012
  6. Step 6: Final answer
    x = 612,377.28

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.