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Finding the Third Proportional to 118,746 and 179,253

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Solution

The third proportional to 118,746 and 179,253 is: 270,591.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,746 : 179,253 = 179,253 : x
  2. Step 2: Convert to fraction form
    118,746/179,253 = 179,253/x
  3. Step 3: Cross multiply
    118,746x = 179,253 × 179,253
  4. Step 4: Simplify right side
    118,746x = 32,131,638,009
  5. Step 5: Solve for x
    x = 32,131,638,009/118,746
  6. Step 6: Final answer
    x = 270,591.33

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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.