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Finding the Third Proportional to 91,957 and 123,578

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Solution

The third proportional to 91,957 and 123,578 is: 166,072.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,957 : 123,578 = 123,578 : x
  2. Step 2: Convert to fraction form
    91,957/123,578 = 123,578/x
  3. Step 3: Cross multiply
    91,957x = 123,578 × 123,578
  4. Step 4: Simplify right side
    91,957x = 15,271,522,084
  5. Step 5: Solve for x
    x = 15,271,522,084/91,957
  6. Step 6: Final answer
    x = 166,072.43

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.