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Finding the Third Proportional to 122,242 and 164,931

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Solution

The third proportional to 122,242 and 164,931 is: 222,527.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,242 : 164,931 = 164,931 : x
  2. Step 2: Convert to fraction form
    122,242/164,931 = 164,931/x
  3. Step 3: Cross multiply
    122,242x = 164,931 × 164,931
  4. Step 4: Simplify right side
    122,242x = 27,202,234,761
  5. Step 5: Solve for x
    x = 27,202,234,761/122,242
  6. Step 6: Final answer
    x = 222,527.73

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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.