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Finding the Third Proportional to 44,089 and 95,149

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Solution

The third proportional to 44,089 and 95,149 is: 205,342.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,089 : 95,149 = 95,149 : x
  2. Step 2: Convert to fraction form
    44,089/95,149 = 95,149/x
  3. Step 3: Cross multiply
    44,089x = 95,149 × 95,149
  4. Step 4: Simplify right side
    44,089x = 9,053,332,201
  5. Step 5: Solve for x
    x = 9,053,332,201/44,089
  6. Step 6: Final answer
    x = 205,342.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.