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Finding the Third Proportional to 122,644.50 and 179,928.75

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Solution

The third proportional to 122,644.50 and 179,928.75 is: 263,969.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,644.50 : 179,928.75 = 179,928.75 : x
  2. Step 2: Convert to fraction form
    122,644.50/179,928.75 = 179,928.75/x
  3. Step 3: Cross multiply
    122,644.50x = 179,928.75 × 179,928.75
  4. Step 4: Simplify right side
    122,644.50x = 32,374,355,076.56
  5. Step 5: Solve for x
    x = 32,374,355,076.56/122,644.50
  6. Step 6: Final answer
    x = 263,969.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.