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Finding the Third Proportional to 122,842 and 180,234

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Solution

The third proportional to 122,842 and 180,234 is: 264,439.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,842 : 180,234 = 180,234 : x
  2. Step 2: Convert to fraction form
    122,842/180,234 = 180,234/x
  3. Step 3: Cross multiply
    122,842x = 180,234 × 180,234
  4. Step 4: Simplify right side
    122,842x = 32,484,294,756
  5. Step 5: Solve for x
    x = 32,484,294,756/122,842
  6. Step 6: Final answer
    x = 264,439.64

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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.