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Finding the Third Proportional to 75,462.75 and 159,912

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Solution

The third proportional to 75,462.75 and 159,912 is: 338,867.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,462.75 : 159,912 = 159,912 : x
  2. Step 2: Convert to fraction form
    75,462.75/159,912 = 159,912/x
  3. Step 3: Cross multiply
    75,462.75x = 159,912 × 159,912
  4. Step 4: Simplify right side
    75,462.75x = 25,571,847,744
  5. Step 5: Solve for x
    x = 25,571,847,744/75,462.75
  6. Step 6: Final answer
    x = 338,867.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.