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Finding the Third Proportional to 122,674 and 179,971

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Solution

The third proportional to 122,674 and 179,971 is: 264,029.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,674 : 179,971 = 179,971 : x
  2. Step 2: Convert to fraction form
    122,674/179,971 = 179,971/x
  3. Step 3: Cross multiply
    122,674x = 179,971 × 179,971
  4. Step 4: Simplify right side
    122,674x = 32,389,560,841
  5. Step 5: Solve for x
    x = 32,389,560,841/122,674
  6. Step 6: Final answer
    x = 264,029.55

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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.