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Finding the Third Proportional to 120,168 and 182,844

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Solution

The third proportional to 120,168 and 182,844 is: 278,209.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,168 : 182,844 = 182,844 : x
  2. Step 2: Convert to fraction form
    120,168/182,844 = 182,844/x
  3. Step 3: Cross multiply
    120,168x = 182,844 × 182,844
  4. Step 4: Simplify right side
    120,168x = 33,431,928,336
  5. Step 5: Solve for x
    x = 33,431,928,336/120,168
  6. Step 6: Final answer
    x = 278,209.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.