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Finding the Third Proportional to 75,763 and 159,355

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Solution

The third proportional to 75,763 and 159,355 is: 335,177.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,763 : 159,355 = 159,355 : x
  2. Step 2: Convert to fraction form
    75,763/159,355 = 159,355/x
  3. Step 3: Cross multiply
    75,763x = 159,355 × 159,355
  4. Step 4: Simplify right side
    75,763x = 25,394,016,025
  5. Step 5: Solve for x
    x = 25,394,016,025/75,763
  6. Step 6: Final answer
    x = 335,177.01

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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.