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Finding the Third Proportional to 74,208 and 165,025

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Solution

The third proportional to 74,208 and 165,025 is: 366,985.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,208 : 165,025 = 165,025 : x
  2. Step 2: Convert to fraction form
    74,208/165,025 = 165,025/x
  3. Step 3: Cross multiply
    74,208x = 165,025 × 165,025
  4. Step 4: Simplify right side
    74,208x = 27,233,250,625
  5. Step 5: Solve for x
    x = 27,233,250,625/74,208
  6. Step 6: Final answer
    x = 366,985.37

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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.