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Finding the Third Proportional to 71,276 and 154,694

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Solution

The third proportional to 71,276 and 154,694 is: 335,740.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,276 : 154,694 = 154,694 : x
  2. Step 2: Convert to fraction form
    71,276/154,694 = 154,694/x
  3. Step 3: Cross multiply
    71,276x = 154,694 × 154,694
  4. Step 4: Simplify right side
    71,276x = 23,930,233,636
  5. Step 5: Solve for x
    x = 23,930,233,636/71,276
  6. Step 6: Final answer
    x = 335,740.41

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.