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Finding the Third Proportional to 98,168 and 155,694

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Solution

The third proportional to 98,168 and 155,694 is: 246,929.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,168 : 155,694 = 155,694 : x
  2. Step 2: Convert to fraction form
    98,168/155,694 = 155,694/x
  3. Step 3: Cross multiply
    98,168x = 155,694 × 155,694
  4. Step 4: Simplify right side
    98,168x = 24,240,621,636
  5. Step 5: Solve for x
    x = 24,240,621,636/98,168
  6. Step 6: Final answer
    x = 246,929.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.