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Finding the Third Proportional to 126,147 and 189,747

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Solution

The third proportional to 126,147 and 189,747 is: 285,412.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,147 : 189,747 = 189,747 : x
  2. Step 2: Convert to fraction form
    126,147/189,747 = 189,747/x
  3. Step 3: Cross multiply
    126,147x = 189,747 × 189,747
  4. Step 4: Simplify right side
    126,147x = 36,003,924,009
  5. Step 5: Solve for x
    x = 36,003,924,009/126,147
  6. Step 6: Final answer
    x = 285,412.45

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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.