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Finding the Third Proportional to 43,439 and 95,182

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Solution

The third proportional to 43,439 and 95,182 is: 208,559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,439 : 95,182 = 95,182 : x
  2. Step 2: Convert to fraction form
    43,439/95,182 = 95,182/x
  3. Step 3: Cross multiply
    43,439x = 95,182 × 95,182
  4. Step 4: Simplify right side
    43,439x = 9,059,613,124
  5. Step 5: Solve for x
    x = 9,059,613,124/43,439
  6. Step 6: Final answer
    x = 208,559.43

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.