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Finding the Third Proportional to 95,195 and 209,075

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Solution

The third proportional to 95,195 and 209,075 is: 459,187.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,195 : 209,075 = 209,075 : x
  2. Step 2: Convert to fraction form
    95,195/209,075 = 209,075/x
  3. Step 3: Cross multiply
    95,195x = 209,075 × 209,075
  4. Step 4: Simplify right side
    95,195x = 43,712,355,625
  5. Step 5: Solve for x
    x = 43,712,355,625/95,195
  6. Step 6: Final answer
    x = 459,187.52

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.