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Finding the Third Proportional to 67,992 and 95,578

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Solution

The third proportional to 67,992 and 95,578 is: 134,356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,992 : 95,578 = 95,578 : x
  2. Step 2: Convert to fraction form
    67,992/95,578 = 95,578/x
  3. Step 3: Cross multiply
    67,992x = 95,578 × 95,578
  4. Step 4: Simplify right side
    67,992x = 9,135,154,084
  5. Step 5: Solve for x
    x = 9,135,154,084/67,992
  6. Step 6: Final answer
    x = 134,356.31

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.