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Finding the Third Proportional to 57,356 and 123,937

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Solution

The third proportional to 57,356 and 123,937 is: 267,807.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,356 : 123,937 = 123,937 : x
  2. Step 2: Convert to fraction form
    57,356/123,937 = 123,937/x
  3. Step 3: Cross multiply
    57,356x = 123,937 × 123,937
  4. Step 4: Simplify right side
    57,356x = 15,360,379,969
  5. Step 5: Solve for x
    x = 15,360,379,969/57,356
  6. Step 6: Final answer
    x = 267,807.73

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.