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Finding the Third Proportional to 74,821 and 164,181

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Solution

The third proportional to 74,821 and 164,181 is: 360,265.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,821 : 164,181 = 164,181 : x
  2. Step 2: Convert to fraction form
    74,821/164,181 = 164,181/x
  3. Step 3: Cross multiply
    74,821x = 164,181 × 164,181
  4. Step 4: Simplify right side
    74,821x = 26,955,400,761
  5. Step 5: Solve for x
    x = 26,955,400,761/74,821
  6. Step 6: Final answer
    x = 360,265.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.