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Finding the Third Proportional to 40,050 and 60,075

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Solution

The third proportional to 40,050 and 60,075 is: 90,112.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,050 : 60,075 = 60,075 : x
  2. Step 2: Convert to fraction form
    40,050/60,075 = 60,075/x
  3. Step 3: Cross multiply
    40,050x = 60,075 × 60,075
  4. Step 4: Simplify right side
    40,050x = 3,609,005,625
  5. Step 5: Solve for x
    x = 3,609,005,625/40,050
  6. Step 6: Final answer
    x = 90,112.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.