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Finding the Third Proportional to 118,906 and 179,367

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Solution

The third proportional to 118,906 and 179,367 is: 270,571.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,906 : 179,367 = 179,367 : x
  2. Step 2: Convert to fraction form
    118,906/179,367 = 179,367/x
  3. Step 3: Cross multiply
    118,906x = 179,367 × 179,367
  4. Step 4: Simplify right side
    118,906x = 32,172,520,689
  5. Step 5: Solve for x
    x = 32,172,520,689/118,906
  6. Step 6: Final answer
    x = 270,571.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.