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Finding the Third Proportional to 132,261.50 and 189,059

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Solution

The third proportional to 132,261.50 and 189,059 is: 270,247.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,261.50 : 189,059 = 189,059 : x
  2. Step 2: Convert to fraction form
    132,261.50/189,059 = 189,059/x
  3. Step 3: Cross multiply
    132,261.50x = 189,059 × 189,059
  4. Step 4: Simplify right side
    132,261.50x = 35,743,305,481
  5. Step 5: Solve for x
    x = 35,743,305,481/132,261.50
  6. Step 6: Final answer
    x = 270,247.24

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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.