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Finding the Third Proportional to 74,162 and 159,986

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Solution

The third proportional to 74,162 and 159,986 is: 345,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,162 : 159,986 = 159,986 : x
  2. Step 2: Convert to fraction form
    74,162/159,986 = 159,986/x
  3. Step 3: Cross multiply
    74,162x = 159,986 × 159,986
  4. Step 4: Simplify right side
    74,162x = 25,595,520,196
  5. Step 5: Solve for x
    x = 25,595,520,196/74,162
  6. Step 6: Final answer
    x = 345,129.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.