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Finding the Third Proportional to 70,286.06 and 100,170.42

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Solution

The third proportional to 70,286.06 and 100,170.42 is: 142,761.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,286.06 : 100,170.42 = 100,170.42 : x
  2. Step 2: Convert to fraction form
    70,286.06/100,170.42 = 100,170.42/x
  3. Step 3: Cross multiply
    70,286.06x = 100,170.42 × 100,170.42
  4. Step 4: Simplify right side
    70,286.06x = 10,034,113,418.62
  5. Step 5: Solve for x
    x = 10,034,113,418.62/70,286.06
  6. Step 6: Final answer
    x = 142,761.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.