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Finding the Third Proportional to 74,052 and 159,926

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Solution

The third proportional to 74,052 and 159,926 is: 345,383.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,052 : 159,926 = 159,926 : x
  2. Step 2: Convert to fraction form
    74,052/159,926 = 159,926/x
  3. Step 3: Cross multiply
    74,052x = 159,926 × 159,926
  4. Step 4: Simplify right side
    74,052x = 25,576,325,476
  5. Step 5: Solve for x
    x = 25,576,325,476/74,052
  6. Step 6: Final answer
    x = 345,383.32

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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.