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Finding the Third Proportional to 56,975 and 123,670

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Solution

The third proportional to 56,975 and 123,670 is: 268,438.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,975 : 123,670 = 123,670 : x
  2. Step 2: Convert to fraction form
    56,975/123,670 = 123,670/x
  3. Step 3: Cross multiply
    56,975x = 123,670 × 123,670
  4. Step 4: Simplify right side
    56,975x = 15,294,268,900
  5. Step 5: Solve for x
    x = 15,294,268,900/56,975
  6. Step 6: Final answer
    x = 268,438.24

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