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Finding the Third Proportional to 126,158 and 189,768

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Solution

The third proportional to 126,158 and 189,768 is: 285,450.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,158 : 189,768 = 189,768 : x
  2. Step 2: Convert to fraction form
    126,158/189,768 = 189,768/x
  3. Step 3: Cross multiply
    126,158x = 189,768 × 189,768
  4. Step 4: Simplify right side
    126,158x = 36,011,893,824
  5. Step 5: Solve for x
    x = 36,011,893,824/126,158
  6. Step 6: Final answer
    x = 285,450.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.