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Finding the Third Proportional to 122,016 and 179,064

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Solution

The third proportional to 122,016 and 179,064 is: 262,784.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,016 : 179,064 = 179,064 : x
  2. Step 2: Convert to fraction form
    122,016/179,064 = 179,064/x
  3. Step 3: Cross multiply
    122,016x = 179,064 × 179,064
  4. Step 4: Simplify right side
    122,016x = 32,063,916,096
  5. Step 5: Solve for x
    x = 32,063,916,096/122,016
  6. Step 6: Final answer
    x = 262,784.52

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