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Finding the Third Proportional to 70,604 and 150,676

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Solution

The third proportional to 70,604 and 150,676 is: 321,557.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,604 : 150,676 = 150,676 : x
  2. Step 2: Convert to fraction form
    70,604/150,676 = 150,676/x
  3. Step 3: Cross multiply
    70,604x = 150,676 × 150,676
  4. Step 4: Simplify right side
    70,604x = 22,703,256,976
  5. Step 5: Solve for x
    x = 22,703,256,976/70,604
  6. Step 6: Final answer
    x = 321,557.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.