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Finding the Third Proportional to 181,467 and 195,075

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Solution

The third proportional to 181,467 and 195,075 is: 209,703.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,467 : 195,075 = 195,075 : x
  2. Step 2: Convert to fraction form
    181,467/195,075 = 195,075/x
  3. Step 3: Cross multiply
    181,467x = 195,075 × 195,075
  4. Step 4: Simplify right side
    181,467x = 38,054,255,625
  5. Step 5: Solve for x
    x = 38,054,255,625/181,467
  6. Step 6: Final answer
    x = 209,703.45

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.