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Finding the Third Proportional to 122,214 and 184,101

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Solution

The third proportional to 122,214 and 184,101 is: 277,326.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,214 : 184,101 = 184,101 : x
  2. Step 2: Convert to fraction form
    122,214/184,101 = 184,101/x
  3. Step 3: Cross multiply
    122,214x = 184,101 × 184,101
  4. Step 4: Simplify right side
    122,214x = 33,893,178,201
  5. Step 5: Solve for x
    x = 33,893,178,201/122,214
  6. Step 6: Final answer
    x = 277,326.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.