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Finding the Third Proportional to 45,804 and 95,116

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Solution

The third proportional to 45,804 and 95,116 is: 197,516.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,804 : 95,116 = 95,116 : x
  2. Step 2: Convert to fraction form
    45,804/95,116 = 95,116/x
  3. Step 3: Cross multiply
    45,804x = 95,116 × 95,116
  4. Step 4: Simplify right side
    45,804x = 9,047,053,456
  5. Step 5: Solve for x
    x = 9,047,053,456/45,804
  6. Step 6: Final answer
    x = 197,516.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.