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Finding the Third Proportional to 122,197 and 184,078

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Solution

The third proportional to 122,197 and 184,078 is: 277,295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,197 : 184,078 = 184,078 : x
  2. Step 2: Convert to fraction form
    122,197/184,078 = 184,078/x
  3. Step 3: Cross multiply
    122,197x = 184,078 × 184,078
  4. Step 4: Simplify right side
    122,197x = 33,884,710,084
  5. Step 5: Solve for x
    x = 33,884,710,084/122,197
  6. Step 6: Final answer
    x = 277,295.76

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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.