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Finding the Third Proportional to 111,220 and 166,976

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Solution

The third proportional to 111,220 and 166,976 is: 250,683.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,220 : 166,976 = 166,976 : x
  2. Step 2: Convert to fraction form
    111,220/166,976 = 166,976/x
  3. Step 3: Cross multiply
    111,220x = 166,976 × 166,976
  4. Step 4: Simplify right side
    111,220x = 27,880,984,576
  5. Step 5: Solve for x
    x = 27,880,984,576/111,220
  6. Step 6: Final answer
    x = 250,683.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.