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Finding the Third Proportional to 51,530 and 108,596

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Solution

The third proportional to 51,530 and 108,596 is: 228,858.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,530 : 108,596 = 108,596 : x
  2. Step 2: Convert to fraction form
    51,530/108,596 = 108,596/x
  3. Step 3: Cross multiply
    51,530x = 108,596 × 108,596
  4. Step 4: Simplify right side
    51,530x = 11,793,091,216
  5. Step 5: Solve for x
    x = 11,793,091,216/51,530
  6. Step 6: Final answer
    x = 228,858.75

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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.