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Finding the Third Proportional to 44,404 and 95,142

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Solution

The third proportional to 44,404 and 95,142 is: 203,855.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,404 : 95,142 = 95,142 : x
  2. Step 2: Convert to fraction form
    44,404/95,142 = 95,142/x
  3. Step 3: Cross multiply
    44,404x = 95,142 × 95,142
  4. Step 4: Simplify right side
    44,404x = 9,052,000,164
  5. Step 5: Solve for x
    x = 9,052,000,164/44,404
  6. Step 6: Final answer
    x = 203,855.51

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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.