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Finding the Third Proportional to 73,631 and 177,516

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Solution

The third proportional to 73,631 and 177,516 is: 427,970.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,631 : 177,516 = 177,516 : x
  2. Step 2: Convert to fraction form
    73,631/177,516 = 177,516/x
  3. Step 3: Cross multiply
    73,631x = 177,516 × 177,516
  4. Step 4: Simplify right side
    73,631x = 31,511,930,256
  5. Step 5: Solve for x
    x = 31,511,930,256/73,631
  6. Step 6: Final answer
    x = 427,970.97

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.