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Finding the Third Proportional to 89,531 and 193,075

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Solution

The third proportional to 89,531 and 193,075 is: 416,369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,531 : 193,075 = 193,075 : x
  2. Step 2: Convert to fraction form
    89,531/193,075 = 193,075/x
  3. Step 3: Cross multiply
    89,531x = 193,075 × 193,075
  4. Step 4: Simplify right side
    89,531x = 37,277,955,625
  5. Step 5: Solve for x
    x = 37,277,955,625/89,531
  6. Step 6: Final answer
    x = 416,369.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.