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Finding the Third Proportional to 122,912 and 166,064

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Solution

The third proportional to 122,912 and 166,064 is: 224,365.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,912 : 166,064 = 166,064 : x
  2. Step 2: Convert to fraction form
    122,912/166,064 = 166,064/x
  3. Step 3: Cross multiply
    122,912x = 166,064 × 166,064
  4. Step 4: Simplify right side
    122,912x = 27,577,252,096
  5. Step 5: Solve for x
    x = 27,577,252,096/122,912
  6. Step 6: Final answer
    x = 224,365.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.