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Finding the Third Proportional to 57,170 and 123,880

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Solution

The third proportional to 57,170 and 123,880 is: 268,431.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,170 : 123,880 = 123,880 : x
  2. Step 2: Convert to fraction form
    57,170/123,880 = 123,880/x
  3. Step 3: Cross multiply
    57,170x = 123,880 × 123,880
  4. Step 4: Simplify right side
    57,170x = 15,346,254,400
  5. Step 5: Solve for x
    x = 15,346,254,400/57,170
  6. Step 6: Final answer
    x = 268,431.95

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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.