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Finding the Third Proportional to 132,287 and 189,097

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Solution

The third proportional to 132,287 and 189,097 is: 270,303.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,287 : 189,097 = 189,097 : x
  2. Step 2: Convert to fraction form
    132,287/189,097 = 189,097/x
  3. Step 3: Cross multiply
    132,287x = 189,097 × 189,097
  4. Step 4: Simplify right side
    132,287x = 35,757,675,409
  5. Step 5: Solve for x
    x = 35,757,675,409/132,287
  6. Step 6: Final answer
    x = 270,303.77

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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.