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Finding the Third Proportional to 70,293 and 142,512

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Solution

The third proportional to 70,293 and 142,512 is: 288,928.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,293 : 142,512 = 142,512 : x
  2. Step 2: Convert to fraction form
    70,293/142,512 = 142,512/x
  3. Step 3: Cross multiply
    70,293x = 142,512 × 142,512
  4. Step 4: Simplify right side
    70,293x = 20,309,670,144
  5. Step 5: Solve for x
    x = 20,309,670,144/70,293
  6. Step 6: Final answer
    x = 288,928.77

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.