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Finding the Third Proportional to 122,968 and 166,896

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Solution

The third proportional to 122,968 and 166,896 is: 226,516.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,968 : 166,896 = 166,896 : x
  2. Step 2: Convert to fraction form
    122,968/166,896 = 166,896/x
  3. Step 3: Cross multiply
    122,968x = 166,896 × 166,896
  4. Step 4: Simplify right side
    122,968x = 27,854,274,816
  5. Step 5: Solve for x
    x = 27,854,274,816/122,968
  6. Step 6: Final answer
    x = 226,516.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.