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Finding the Third Proportional to 67,092 and 98,694

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Solution

The third proportional to 67,092 and 98,694 is: 145,181.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,092 : 98,694 = 98,694 : x
  2. Step 2: Convert to fraction form
    67,092/98,694 = 98,694/x
  3. Step 3: Cross multiply
    67,092x = 98,694 × 98,694
  4. Step 4: Simplify right side
    67,092x = 9,740,505,636
  5. Step 5: Solve for x
    x = 9,740,505,636/67,092
  6. Step 6: Final answer
    x = 145,181.33

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.