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Finding the Third Proportional to 122,972 and 184,573

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Solution

The third proportional to 122,972 and 184,573 is: 277,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,972 : 184,573 = 184,573 : x
  2. Step 2: Convert to fraction form
    122,972/184,573 = 184,573/x
  3. Step 3: Cross multiply
    122,972x = 184,573 × 184,573
  4. Step 4: Simplify right side
    122,972x = 34,067,192,329
  5. Step 5: Solve for x
    x = 34,067,192,329/122,972
  6. Step 6: Final answer
    x = 277,032.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.