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Finding the Third Proportional to 102,075 and 150,195

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Solution

The third proportional to 102,075 and 150,195 is: 220,999.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,075 : 150,195 = 150,195 : x
  2. Step 2: Convert to fraction form
    102,075/150,195 = 150,195/x
  3. Step 3: Cross multiply
    102,075x = 150,195 × 150,195
  4. Step 4: Simplify right side
    102,075x = 22,558,538,025
  5. Step 5: Solve for x
    x = 22,558,538,025/102,075
  6. Step 6: Final answer
    x = 220,999.64

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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.