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Finding the Third Proportional to 43,668 and 93,567

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Solution

The third proportional to 43,668 and 93,567 is: 200,485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,668 : 93,567 = 93,567 : x
  2. Step 2: Convert to fraction form
    43,668/93,567 = 93,567/x
  3. Step 3: Cross multiply
    43,668x = 93,567 × 93,567
  4. Step 4: Simplify right side
    43,668x = 8,754,783,489
  5. Step 5: Solve for x
    x = 8,754,783,489/43,668
  6. Step 6: Final answer
    x = 200,485.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.