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Finding the Third Proportional to 27,168 and 57,072

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Solution

The third proportional to 27,168 and 57,072 is: 119,891.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,168 : 57,072 = 57,072 : x
  2. Step 2: Convert to fraction form
    27,168/57,072 = 57,072/x
  3. Step 3: Cross multiply
    27,168x = 57,072 × 57,072
  4. Step 4: Simplify right side
    27,168x = 3,257,213,184
  5. Step 5: Solve for x
    x = 3,257,213,184/27,168
  6. Step 6: Final answer
    x = 119,891.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.