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Finding the Third Proportional to 74,074.50 and 164,161.69

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Solution

The third proportional to 74,074.50 and 164,161.69 is: 363,810.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,074.50 : 164,161.69 = 164,161.69 : x
  2. Step 2: Convert to fraction form
    74,074.50/164,161.69 = 164,161.69/x
  3. Step 3: Cross multiply
    74,074.50x = 164,161.69 × 164,161.69
  4. Step 4: Simplify right side
    74,074.50x = 26,949,059,642.85
  5. Step 5: Solve for x
    x = 26,949,059,642.85/74,074.50
  6. Step 6: Final answer
    x = 363,810.21

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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.