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Finding the Third Proportional to 141,124 and 206,286

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Solution

The third proportional to 141,124 and 206,286 is: 301,535.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,124 : 206,286 = 206,286 : x
  2. Step 2: Convert to fraction form
    141,124/206,286 = 206,286/x
  3. Step 3: Cross multiply
    141,124x = 206,286 × 206,286
  4. Step 4: Simplify right side
    141,124x = 42,553,913,796
  5. Step 5: Solve for x
    x = 42,553,913,796/141,124
  6. Step 6: Final answer
    x = 301,535.63

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.