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Finding the Third Proportional to 57,168 and 123,876

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Solution

The third proportional to 57,168 and 123,876 is: 268,424.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,168 : 123,876 = 123,876 : x
  2. Step 2: Convert to fraction form
    57,168/123,876 = 123,876/x
  3. Step 3: Cross multiply
    57,168x = 123,876 × 123,876
  4. Step 4: Simplify right side
    57,168x = 15,345,263,376
  5. Step 5: Solve for x
    x = 15,345,263,376/57,168
  6. Step 6: Final answer
    x = 268,424.00

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.