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Finding the Third Proportional to 169,738 and 184,075

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Solution

The third proportional to 169,738 and 184,075 is: 199,622.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,738 : 184,075 = 184,075 : x
  2. Step 2: Convert to fraction form
    169,738/184,075 = 184,075/x
  3. Step 3: Cross multiply
    169,738x = 184,075 × 184,075
  4. Step 4: Simplify right side
    169,738x = 33,883,605,625
  5. Step 5: Solve for x
    x = 33,883,605,625/169,738
  6. Step 6: Final answer
    x = 199,622.98

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.