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Finding the Third Proportional to 75,744 and 159,102

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Solution

The third proportional to 75,744 and 159,102 is: 334,197.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,744 : 159,102 = 159,102 : x
  2. Step 2: Convert to fraction form
    75,744/159,102 = 159,102/x
  3. Step 3: Cross multiply
    75,744x = 159,102 × 159,102
  4. Step 4: Simplify right side
    75,744x = 25,313,446,404
  5. Step 5: Solve for x
    x = 25,313,446,404/75,744
  6. Step 6: Final answer
    x = 334,197.38

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.