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Finding the Third Proportional to 136,094 and 211,245

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Solution

The third proportional to 136,094 and 211,245 is: 327,894.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,094 : 211,245 = 211,245 : x
  2. Step 2: Convert to fraction form
    136,094/211,245 = 211,245/x
  3. Step 3: Cross multiply
    136,094x = 211,245 × 211,245
  4. Step 4: Simplify right side
    136,094x = 44,624,450,025
  5. Step 5: Solve for x
    x = 44,624,450,025/136,094
  6. Step 6: Final answer
    x = 327,894.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.