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Finding the Third Proportional to 43,676 and 90,142

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Solution

The third proportional to 43,676 and 90,142 is: 186,042.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,676 : 90,142 = 90,142 : x
  2. Step 2: Convert to fraction form
    43,676/90,142 = 90,142/x
  3. Step 3: Cross multiply
    43,676x = 90,142 × 90,142
  4. Step 4: Simplify right side
    43,676x = 8,125,580,164
  5. Step 5: Solve for x
    x = 8,125,580,164/43,676
  6. Step 6: Final answer
    x = 186,042.22

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.