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Finding the Third Proportional to 80,583.75 and 115,401.38

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Solution

The third proportional to 80,583.75 and 115,401.38 is: 165,262.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,583.75 : 115,401.38 = 115,401.38 : x
  2. Step 2: Convert to fraction form
    80,583.75/115,401.38 = 115,401.38/x
  3. Step 3: Cross multiply
    80,583.75x = 115,401.38 × 115,401.38
  4. Step 4: Simplify right side
    80,583.75x = 13,317,477,351.89
  5. Step 5: Solve for x
    x = 13,317,477,351.89/80,583.75
  6. Step 6: Final answer
    x = 165,262.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.