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Finding the Third Proportional to 122,670 and 184,620

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Solution

The third proportional to 122,670 and 184,620 is: 277,855.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,670 : 184,620 = 184,620 : x
  2. Step 2: Convert to fraction form
    122,670/184,620 = 184,620/x
  3. Step 3: Cross multiply
    122,670x = 184,620 × 184,620
  4. Step 4: Simplify right side
    122,670x = 34,084,544,400
  5. Step 5: Solve for x
    x = 34,084,544,400/122,670
  6. Step 6: Final answer
    x = 277,855.58

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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.