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Finding the Third Proportional to 126,354 and 197,133

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Solution

The third proportional to 126,354 and 197,133 is: 307,559.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,354 : 197,133 = 197,133 : x
  2. Step 2: Convert to fraction form
    126,354/197,133 = 197,133/x
  3. Step 3: Cross multiply
    126,354x = 197,133 × 197,133
  4. Step 4: Simplify right side
    126,354x = 38,861,419,689
  5. Step 5: Solve for x
    x = 38,861,419,689/126,354
  6. Step 6: Final answer
    x = 307,559.87

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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.