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Finding the Third Proportional to 74,069 and 164,152

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Solution

The third proportional to 74,069 and 164,152 is: 363,794.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,069 : 164,152 = 164,152 : x
  2. Step 2: Convert to fraction form
    74,069/164,152 = 164,152/x
  3. Step 3: Cross multiply
    74,069x = 164,152 × 164,152
  4. Step 4: Simplify right side
    74,069x = 26,945,879,104
  5. Step 5: Solve for x
    x = 26,945,879,104/74,069
  6. Step 6: Final answer
    x = 363,794.29

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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.