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Finding the Third Proportional to 132,192 and 189,444

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Solution

The third proportional to 132,192 and 189,444 is: 271,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,192 : 189,444 = 189,444 : x
  2. Step 2: Convert to fraction form
    132,192/189,444 = 189,444/x
  3. Step 3: Cross multiply
    132,192x = 189,444 × 189,444
  4. Step 4: Simplify right side
    132,192x = 35,889,029,136
  5. Step 5: Solve for x
    x = 35,889,029,136/132,192
  6. Step 6: Final answer
    x = 271,491.69

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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.