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Finding the Third Proportional to 122,964.33 and 184,560.61

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Solution

The third proportional to 122,964.33 and 184,560.61 is: 277,012.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,964.33 : 184,560.61 = 184,560.61 : x
  2. Step 2: Convert to fraction form
    122,964.33/184,560.61 = 184,560.61/x
  3. Step 3: Cross multiply
    122,964.33x = 184,560.61 × 184,560.61
  4. Step 4: Simplify right side
    122,964.33x = 34,062,618,532.87
  5. Step 5: Solve for x
    x = 34,062,618,532.87/122,964.33
  6. Step 6: Final answer
    x = 277,012.20

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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.