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Finding the Third Proportional to 75,790 and 159,193

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Solution

The third proportional to 75,790 and 159,193 is: 334,376.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,790 : 159,193 = 159,193 : x
  2. Step 2: Convert to fraction form
    75,790/159,193 = 159,193/x
  3. Step 3: Cross multiply
    75,790x = 159,193 × 159,193
  4. Step 4: Simplify right side
    75,790x = 25,342,411,249
  5. Step 5: Solve for x
    x = 25,342,411,249/75,790
  6. Step 6: Final answer
    x = 334,376.72

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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.