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Finding the Third Proportional to 44,404 and 95,125

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Solution

The third proportional to 44,404 and 95,125 is: 203,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,404 : 95,125 = 95,125 : x
  2. Step 2: Convert to fraction form
    44,404/95,125 = 95,125/x
  3. Step 3: Cross multiply
    44,404x = 95,125 × 95,125
  4. Step 4: Simplify right side
    44,404x = 9,048,765,625
  5. Step 5: Solve for x
    x = 9,048,765,625/44,404
  6. Step 6: Final answer
    x = 203,782.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.