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Finding the Third Proportional to 51,524 and 108,678

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Solution

The third proportional to 51,524 and 108,678 is: 229,231.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,524 : 108,678 = 108,678 : x
  2. Step 2: Convert to fraction form
    51,524/108,678 = 108,678/x
  3. Step 3: Cross multiply
    51,524x = 108,678 × 108,678
  4. Step 4: Simplify right side
    51,524x = 11,810,907,684
  5. Step 5: Solve for x
    x = 11,810,907,684/51,524
  6. Step 6: Final answer
    x = 229,231.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.