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Finding the Third Proportional to 44,728 and 83,116

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Solution

The third proportional to 44,728 and 83,116 is: 154,450.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,728 : 83,116 = 83,116 : x
  2. Step 2: Convert to fraction form
    44,728/83,116 = 83,116/x
  3. Step 3: Cross multiply
    44,728x = 83,116 × 83,116
  4. Step 4: Simplify right side
    44,728x = 6,908,269,456
  5. Step 5: Solve for x
    x = 6,908,269,456/44,728
  6. Step 6: Final answer
    x = 154,450.67

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.