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Finding the Third Proportional to 122,672 and 179,968

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Solution

The third proportional to 122,672 and 179,968 is: 264,025.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,672 : 179,968 = 179,968 : x
  2. Step 2: Convert to fraction form
    122,672/179,968 = 179,968/x
  3. Step 3: Cross multiply
    122,672x = 179,968 × 179,968
  4. Step 4: Simplify right side
    122,672x = 32,388,481,024
  5. Step 5: Solve for x
    x = 32,388,481,024/122,672
  6. Step 6: Final answer
    x = 264,025.05

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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.