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Finding the Third Proportional to 77,004.25 and 115,193

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Solution

The third proportional to 77,004.25 and 115,193 is: 172,320.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,004.25 : 115,193 = 115,193 : x
  2. Step 2: Convert to fraction form
    77,004.25/115,193 = 115,193/x
  3. Step 3: Cross multiply
    77,004.25x = 115,193 × 115,193
  4. Step 4: Simplify right side
    77,004.25x = 13,269,427,249
  5. Step 5: Solve for x
    x = 13,269,427,249/77,004.25
  6. Step 6: Final answer
    x = 172,320.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.