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Finding the Third Proportional to 90,211.69 and 126,121.31

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Solution

The third proportional to 90,211.69 and 126,121.31 is: 176,325.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,211.69 : 126,121.31 = 126,121.31 : x
  2. Step 2: Convert to fraction form
    90,211.69/126,121.31 = 126,121.31/x
  3. Step 3: Cross multiply
    90,211.69x = 126,121.31 × 126,121.31
  4. Step 4: Simplify right side
    90,211.69x = 15,906,585,466.72
  5. Step 5: Solve for x
    x = 15,906,585,466.72/90,211.69
  6. Step 6: Final answer
    x = 176,325.11

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.