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Finding the Third Proportional to 41,772 and 84,999

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Solution

The third proportional to 41,772 and 84,999 is: 172,958.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,772 : 84,999 = 84,999 : x
  2. Step 2: Convert to fraction form
    41,772/84,999 = 84,999/x
  3. Step 3: Cross multiply
    41,772x = 84,999 × 84,999
  4. Step 4: Simplify right side
    41,772x = 7,224,830,001
  5. Step 5: Solve for x
    x = 7,224,830,001/41,772
  6. Step 6: Final answer
    x = 172,958.68

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.