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Finding the Third Proportional to 70,734 and 154,104

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Solution

The third proportional to 70,734 and 154,104 is: 335,737.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,734 : 154,104 = 154,104 : x
  2. Step 2: Convert to fraction form
    70,734/154,104 = 154,104/x
  3. Step 3: Cross multiply
    70,734x = 154,104 × 154,104
  4. Step 4: Simplify right side
    70,734x = 23,748,042,816
  5. Step 5: Solve for x
    x = 23,748,042,816/70,734
  6. Step 6: Final answer
    x = 335,737.31

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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.