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Finding the Third Proportional to 51,669 and 122,520

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Solution

The third proportional to 51,669 and 122,520 is: 290,525.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,669 : 122,520 = 122,520 : x
  2. Step 2: Convert to fraction form
    51,669/122,520 = 122,520/x
  3. Step 3: Cross multiply
    51,669x = 122,520 × 122,520
  4. Step 4: Simplify right side
    51,669x = 15,011,150,400
  5. Step 5: Solve for x
    x = 15,011,150,400/51,669
  6. Step 6: Final answer
    x = 290,525.27

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.