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Finding the Third Proportional to 74,958 and 162,975

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Solution

The third proportional to 74,958 and 162,975 is: 354,343.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,958 : 162,975 = 162,975 : x
  2. Step 2: Convert to fraction form
    74,958/162,975 = 162,975/x
  3. Step 3: Cross multiply
    74,958x = 162,975 × 162,975
  4. Step 4: Simplify right side
    74,958x = 26,560,850,625
  5. Step 5: Solve for x
    x = 26,560,850,625/74,958
  6. Step 6: Final answer
    x = 354,343.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.