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Finding the Third Proportional to 72,669 and 155,694

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Solution

The third proportional to 72,669 and 155,694 is: 333,575.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,669 : 155,694 = 155,694 : x
  2. Step 2: Convert to fraction form
    72,669/155,694 = 155,694/x
  3. Step 3: Cross multiply
    72,669x = 155,694 × 155,694
  4. Step 4: Simplify right side
    72,669x = 24,240,621,636
  5. Step 5: Solve for x
    x = 24,240,621,636/72,669
  6. Step 6: Final answer
    x = 333,575.83

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.