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Finding the Third Proportional to 74,172 and 164,361

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Solution

The third proportional to 74,172 and 164,361 is: 364,214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,172 : 164,361 = 164,361 : x
  2. Step 2: Convert to fraction form
    74,172/164,361 = 164,361/x
  3. Step 3: Cross multiply
    74,172x = 164,361 × 164,361
  4. Step 4: Simplify right side
    74,172x = 27,014,538,321
  5. Step 5: Solve for x
    x = 27,014,538,321/74,172
  6. Step 6: Final answer
    x = 364,214.78

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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.