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Finding the Third Proportional to 97,962.50 and 200,075

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Solution

The third proportional to 97,962.50 and 200,075 is: 408,625.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,962.50 : 200,075 = 200,075 : x
  2. Step 2: Convert to fraction form
    97,962.50/200,075 = 200,075/x
  3. Step 3: Cross multiply
    97,962.50x = 200,075 × 200,075
  4. Step 4: Simplify right side
    97,962.50x = 40,030,005,625
  5. Step 5: Solve for x
    x = 40,030,005,625/97,962.50
  6. Step 6: Final answer
    x = 408,625.81

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.