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Finding the Third Proportional to 118,192 and 178,696

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Solution

The third proportional to 118,192 and 178,696 is: 270,172.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,192 : 178,696 = 178,696 : x
  2. Step 2: Convert to fraction form
    118,192/178,696 = 178,696/x
  3. Step 3: Cross multiply
    118,192x = 178,696 × 178,696
  4. Step 4: Simplify right side
    118,192x = 31,932,260,416
  5. Step 5: Solve for x
    x = 31,932,260,416/118,192
  6. Step 6: Final answer
    x = 270,172.77

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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.