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Finding the Third Proportional to 52,274 and 108,976

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Solution

The third proportional to 52,274 and 108,976 is: 227,183.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,274 : 108,976 = 108,976 : x
  2. Step 2: Convert to fraction form
    52,274/108,976 = 108,976/x
  3. Step 3: Cross multiply
    52,274x = 108,976 × 108,976
  4. Step 4: Simplify right side
    52,274x = 11,875,768,576
  5. Step 5: Solve for x
    x = 11,875,768,576/52,274
  6. Step 6: Final answer
    x = 227,183.08

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.