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Finding the Third Proportional to 74,118 and 162,999

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Solution

The third proportional to 74,118 and 162,999 is: 358,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,118 : 162,999 = 162,999 : x
  2. Step 2: Convert to fraction form
    74,118/162,999 = 162,999/x
  3. Step 3: Cross multiply
    74,118x = 162,999 × 162,999
  4. Step 4: Simplify right side
    74,118x = 26,568,674,001
  5. Step 5: Solve for x
    x = 26,568,674,001/74,118
  6. Step 6: Final answer
    x = 358,464.53

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.