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Finding the Third Proportional to 70,602 and 154,512

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Solution

The third proportional to 70,602 and 154,512 is: 338,148.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,602 : 154,512 = 154,512 : x
  2. Step 2: Convert to fraction form
    70,602/154,512 = 154,512/x
  3. Step 3: Cross multiply
    70,602x = 154,512 × 154,512
  4. Step 4: Simplify right side
    70,602x = 23,873,958,144
  5. Step 5: Solve for x
    x = 23,873,958,144/70,602
  6. Step 6: Final answer
    x = 338,148.47

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.