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Finding the Third Proportional to 126,209.81 and 276,177.94

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Solution

The third proportional to 126,209.81 and 276,177.94 is: 604,344.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,209.81 : 276,177.94 = 276,177.94 : x
  2. Step 2: Convert to fraction form
    126,209.81/276,177.94 = 276,177.94/x
  3. Step 3: Cross multiply
    126,209.81x = 276,177.94 × 276,177.94
  4. Step 4: Simplify right side
    126,209.81x = 76,274,253,161.75
  5. Step 5: Solve for x
    x = 76,274,253,161.75/126,209.81
  6. Step 6: Final answer
    x = 604,344.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.