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Finding the Third Proportional to 118,770 and 182,635

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Solution

The third proportional to 118,770 and 182,635 is: 280,841.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,770 : 182,635 = 182,635 : x
  2. Step 2: Convert to fraction form
    118,770/182,635 = 182,635/x
  3. Step 3: Cross multiply
    118,770x = 182,635 × 182,635
  4. Step 4: Simplify right side
    118,770x = 33,355,543,225
  5. Step 5: Solve for x
    x = 33,355,543,225/118,770
  6. Step 6: Final answer
    x = 280,841.49

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.