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Finding the Third Proportional to 122,069 and 182,983

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Solution

The third proportional to 122,069 and 182,983 is: 274,293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,069 : 182,983 = 182,983 : x
  2. Step 2: Convert to fraction form
    122,069/182,983 = 182,983/x
  3. Step 3: Cross multiply
    122,069x = 182,983 × 182,983
  4. Step 4: Simplify right side
    122,069x = 33,482,778,289
  5. Step 5: Solve for x
    x = 33,482,778,289/122,069
  6. Step 6: Final answer
    x = 274,293.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.