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Finding the Third Proportional to 70,760 and 154,012

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Solution

The third proportional to 70,760 and 154,012 is: 335,213.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,760 : 154,012 = 154,012 : x
  2. Step 2: Convert to fraction form
    70,760/154,012 = 154,012/x
  3. Step 3: Cross multiply
    70,760x = 154,012 × 154,012
  4. Step 4: Simplify right side
    70,760x = 23,719,696,144
  5. Step 5: Solve for x
    x = 23,719,696,144/70,760
  6. Step 6: Final answer
    x = 335,213.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.