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Finding the Third Proportional to 74,242 and 165,045

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Solution

The third proportional to 74,242 and 165,045 is: 366,906.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,242 : 165,045 = 165,045 : x
  2. Step 2: Convert to fraction form
    74,242/165,045 = 165,045/x
  3. Step 3: Cross multiply
    74,242x = 165,045 × 165,045
  4. Step 4: Simplify right side
    74,242x = 27,239,852,025
  5. Step 5: Solve for x
    x = 27,239,852,025/74,242
  6. Step 6: Final answer
    x = 366,906.23

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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.