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Finding the Third Proportional to 126,606 and 197,685

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Solution

The third proportional to 126,606 and 197,685 is: 308,669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,606 : 197,685 = 197,685 : x
  2. Step 2: Convert to fraction form
    126,606/197,685 = 197,685/x
  3. Step 3: Cross multiply
    126,606x = 197,685 × 197,685
  4. Step 4: Simplify right side
    126,606x = 39,079,359,225
  5. Step 5: Solve for x
    x = 39,079,359,225/126,606
  6. Step 6: Final answer
    x = 308,669.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.