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Finding the Third Proportional to 126,684 and 199,260

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Solution

The third proportional to 126,684 and 199,260 is: 313,414.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,684 : 199,260 = 199,260 : x
  2. Step 2: Convert to fraction form
    126,684/199,260 = 199,260/x
  3. Step 3: Cross multiply
    126,684x = 199,260 × 199,260
  4. Step 4: Simplify right side
    126,684x = 39,704,547,600
  5. Step 5: Solve for x
    x = 39,704,547,600/126,684
  6. Step 6: Final answer
    x = 313,414.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.