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Finding the Third Proportional to 132,003 and 189,163.50

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Solution

The third proportional to 132,003 and 189,163.50 is: 271,075.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,003 : 189,163.50 = 189,163.50 : x
  2. Step 2: Convert to fraction form
    132,003/189,163.50 = 189,163.50/x
  3. Step 3: Cross multiply
    132,003x = 189,163.50 × 189,163.50
  4. Step 4: Simplify right side
    132,003x = 35,782,829,732.25
  5. Step 5: Solve for x
    x = 35,782,829,732.25/132,003
  6. Step 6: Final answer
    x = 271,075.88

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.