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Finding the Third Proportional to 81,743.50 and 110,951

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Solution

The third proportional to 81,743.50 and 110,951 is: 150,594.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,743.50 : 110,951 = 110,951 : x
  2. Step 2: Convert to fraction form
    81,743.50/110,951 = 110,951/x
  3. Step 3: Cross multiply
    81,743.50x = 110,951 × 110,951
  4. Step 4: Simplify right side
    81,743.50x = 12,310,124,401
  5. Step 5: Solve for x
    x = 12,310,124,401/81,743.50
  6. Step 6: Final answer
    x = 150,594.54

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.