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Finding the Third Proportional to 57,022 and 124,880

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Solution

The third proportional to 57,022 and 124,880 is: 273,491.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,022 : 124,880 = 124,880 : x
  2. Step 2: Convert to fraction form
    57,022/124,880 = 124,880/x
  3. Step 3: Cross multiply
    57,022x = 124,880 × 124,880
  4. Step 4: Simplify right side
    57,022x = 15,595,014,400
  5. Step 5: Solve for x
    x = 15,595,014,400/57,022
  6. Step 6: Final answer
    x = 273,491.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.