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Finding the Third Proportional to 44,524.69 and 106,398.56

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Solution

The third proportional to 44,524.69 and 106,398.56 is: 254,255.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,524.69 : 106,398.56 = 106,398.56 : x
  2. Step 2: Convert to fraction form
    44,524.69/106,398.56 = 106,398.56/x
  3. Step 3: Cross multiply
    44,524.69x = 106,398.56 × 106,398.56
  4. Step 4: Simplify right side
    44,524.69x = 11,320,654,102.07
  5. Step 5: Solve for x
    x = 11,320,654,102.07/44,524.69
  6. Step 6: Final answer
    x = 254,255.67

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.