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Finding the Third Proportional to 122,260.50 and 184,200.75

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Solution

The third proportional to 122,260.50 and 184,200.75 is: 277,521.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,260.50 : 184,200.75 = 184,200.75 : x
  2. Step 2: Convert to fraction form
    122,260.50/184,200.75 = 184,200.75/x
  3. Step 3: Cross multiply
    122,260.50x = 184,200.75 × 184,200.75
  4. Step 4: Simplify right side
    122,260.50x = 33,929,916,300.56
  5. Step 5: Solve for x
    x = 33,929,916,300.56/122,260.50
  6. Step 6: Final answer
    x = 277,521.49

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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.