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Finding the Third Proportional to 102,627 and 198,144

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Solution

The third proportional to 102,627 and 198,144 is: 382,560.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,627 : 198,144 = 198,144 : x
  2. Step 2: Convert to fraction form
    102,627/198,144 = 198,144/x
  3. Step 3: Cross multiply
    102,627x = 198,144 × 198,144
  4. Step 4: Simplify right side
    102,627x = 39,261,044,736
  5. Step 5: Solve for x
    x = 39,261,044,736/102,627
  6. Step 6: Final answer
    x = 382,560.58

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Why These Related Problems?

These problems maintain the same ratio (1.93) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.