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Finding the Third Proportional to 122,403 and 182,891

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Solution

The third proportional to 122,403 and 182,891 is: 273,270.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,403 : 182,891 = 182,891 : x
  2. Step 2: Convert to fraction form
    122,403/182,891 = 182,891/x
  3. Step 3: Cross multiply
    122,403x = 182,891 × 182,891
  4. Step 4: Simplify right side
    122,403x = 33,449,117,881
  5. Step 5: Solve for x
    x = 33,449,117,881/122,403
  6. Step 6: Final answer
    x = 273,270.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.