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Finding the Third Proportional to 43,058 and 92,912

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Solution

The third proportional to 43,058 and 92,912 is: 200,488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,058 : 92,912 = 92,912 : x
  2. Step 2: Convert to fraction form
    43,058/92,912 = 92,912/x
  3. Step 3: Cross multiply
    43,058x = 92,912 × 92,912
  4. Step 4: Simplify right side
    43,058x = 8,632,639,744
  5. Step 5: Solve for x
    x = 8,632,639,744/43,058
  6. Step 6: Final answer
    x = 200,488.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.