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Finding the Third Proportional to 122,996 and 251,752

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Solution

The third proportional to 122,996 and 251,752 is: 515,293.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,996 : 251,752 = 251,752 : x
  2. Step 2: Convert to fraction form
    122,996/251,752 = 251,752/x
  3. Step 3: Cross multiply
    122,996x = 251,752 × 251,752
  4. Step 4: Simplify right side
    122,996x = 63,379,069,504
  5. Step 5: Solve for x
    x = 63,379,069,504/122,996
  6. Step 6: Final answer
    x = 515,293.75

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.