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Finding the Third Proportional to 123,576 and 251,520

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Solution

The third proportional to 123,576 and 251,520 is: 511,930.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,576 : 251,520 = 251,520 : x
  2. Step 2: Convert to fraction form
    123,576/251,520 = 251,520/x
  3. Step 3: Cross multiply
    123,576x = 251,520 × 251,520
  4. Step 4: Simplify right side
    123,576x = 63,262,310,400
  5. Step 5: Solve for x
    x = 63,262,310,400/123,576
  6. Step 6: Final answer
    x = 511,930.39

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.