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Finding the Third Proportional to 68,872.50 and 100,949.25

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Solution

The third proportional to 68,872.50 and 100,949.25 is: 147,965.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,872.50 : 100,949.25 = 100,949.25 : x
  2. Step 2: Convert to fraction form
    68,872.50/100,949.25 = 100,949.25/x
  3. Step 3: Cross multiply
    68,872.50x = 100,949.25 × 100,949.25
  4. Step 4: Simplify right side
    68,872.50x = 10,190,751,075.56
  5. Step 5: Solve for x
    x = 10,190,751,075.56/68,872.50
  6. Step 6: Final answer
    x = 147,965.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.