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Finding the Third Proportional to 74,034.75 and 162,825

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Solution

The third proportional to 74,034.75 and 162,825 is: 358,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,034.75 : 162,825 = 162,825 : x
  2. Step 2: Convert to fraction form
    74,034.75/162,825 = 162,825/x
  3. Step 3: Cross multiply
    74,034.75x = 162,825 × 162,825
  4. Step 4: Simplify right side
    74,034.75x = 26,511,980,625
  5. Step 5: Solve for x
    x = 26,511,980,625/74,034.75
  6. Step 6: Final answer
    x = 358,101.85

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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.