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Finding the Third Proportional to 65,788 and 159,075

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Solution

The third proportional to 65,788 and 159,075 is: 384,642.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,788 : 159,075 = 159,075 : x
  2. Step 2: Convert to fraction form
    65,788/159,075 = 159,075/x
  3. Step 3: Cross multiply
    65,788x = 159,075 × 159,075
  4. Step 4: Simplify right side
    65,788x = 25,304,855,625
  5. Step 5: Solve for x
    x = 25,304,855,625/65,788
  6. Step 6: Final answer
    x = 384,642.42

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.