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Finding the Third Proportional to 57,958 and 123,571

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Solution

The third proportional to 57,958 and 123,571 is: 263,463.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,958 : 123,571 = 123,571 : x
  2. Step 2: Convert to fraction form
    57,958/123,571 = 123,571/x
  3. Step 3: Cross multiply
    57,958x = 123,571 × 123,571
  4. Step 4: Simplify right side
    57,958x = 15,269,792,041
  5. Step 5: Solve for x
    x = 15,269,792,041/57,958
  6. Step 6: Final answer
    x = 263,463.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.