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Finding the Third Proportional to 43,678 and 95,350

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Solution

The third proportional to 43,678 and 95,350 is: 208,151.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,678 : 95,350 = 95,350 : x
  2. Step 2: Convert to fraction form
    43,678/95,350 = 95,350/x
  3. Step 3: Cross multiply
    43,678x = 95,350 × 95,350
  4. Step 4: Simplify right side
    43,678x = 9,091,622,500
  5. Step 5: Solve for x
    x = 9,091,622,500/43,678
  6. Step 6: Final answer
    x = 208,151.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.