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Finding the Third Proportional to 43,198 and 70,538

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Solution

The third proportional to 43,198 and 70,538 is: 115,181.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,198 : 70,538 = 70,538 : x
  2. Step 2: Convert to fraction form
    43,198/70,538 = 70,538/x
  3. Step 3: Cross multiply
    43,198x = 70,538 × 70,538
  4. Step 4: Simplify right side
    43,198x = 4,975,609,444
  5. Step 5: Solve for x
    x = 4,975,609,444/43,198
  6. Step 6: Final answer
    x = 115,181.48

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.