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Finding the Third Proportional to 74,088 and 164,189

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Solution

The third proportional to 74,088 and 164,189 is: 363,864.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,088 : 164,189 = 164,189 : x
  2. Step 2: Convert to fraction form
    74,088/164,189 = 164,189/x
  3. Step 3: Cross multiply
    74,088x = 164,189 × 164,189
  4. Step 4: Simplify right side
    74,088x = 26,958,027,721
  5. Step 5: Solve for x
    x = 26,958,027,721/74,088
  6. Step 6: Final answer
    x = 363,864.97

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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.