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Finding the Third Proportional to 74,181 and 164,994

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Solution

The third proportional to 74,181 and 164,994 is: 366,981.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,181 : 164,994 = 164,994 : x
  2. Step 2: Convert to fraction form
    74,181/164,994 = 164,994/x
  3. Step 3: Cross multiply
    74,181x = 164,994 × 164,994
  4. Step 4: Simplify right side
    74,181x = 27,223,020,036
  5. Step 5: Solve for x
    x = 27,223,020,036/74,181
  6. Step 6: Final answer
    x = 366,981.03

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.