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Finding the Third Proportional to 122,094 and 182,223

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Solution

The third proportional to 122,094 and 182,223 is: 271,964.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,094 : 182,223 = 182,223 : x
  2. Step 2: Convert to fraction form
    122,094/182,223 = 182,223/x
  3. Step 3: Cross multiply
    122,094x = 182,223 × 182,223
  4. Step 4: Simplify right side
    122,094x = 33,205,221,729
  5. Step 5: Solve for x
    x = 33,205,221,729/122,094
  6. Step 6: Final answer
    x = 271,964.40

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.