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Finding the Third Proportional to 132,257.81 and 189,054

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Solution

The third proportional to 132,257.81 and 189,054 is: 270,240.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,257.81 : 189,054 = 189,054 : x
  2. Step 2: Convert to fraction form
    132,257.81/189,054 = 189,054/x
  3. Step 3: Cross multiply
    132,257.81x = 189,054 × 189,054
  4. Step 4: Simplify right side
    132,257.81x = 35,741,414,916
  5. Step 5: Solve for x
    x = 35,741,414,916/132,257.81
  6. Step 6: Final answer
    x = 270,240.48

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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.