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Finding the Third Proportional to 43,968 and 93,180

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Solution

The third proportional to 43,968 and 93,180 is: 197,473.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,968 : 93,180 = 93,180 : x
  2. Step 2: Convert to fraction form
    43,968/93,180 = 93,180/x
  3. Step 3: Cross multiply
    43,968x = 93,180 × 93,180
  4. Step 4: Simplify right side
    43,968x = 8,682,512,400
  5. Step 5: Solve for x
    x = 8,682,512,400/43,968
  6. Step 6: Final answer
    x = 197,473.44

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.