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Finding the Third Proportional to 43,434.75 and 95,181

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Solution

The third proportional to 43,434.75 and 95,181 is: 208,575.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,434.75 : 95,181 = 95,181 : x
  2. Step 2: Convert to fraction form
    43,434.75/95,181 = 95,181/x
  3. Step 3: Cross multiply
    43,434.75x = 95,181 × 95,181
  4. Step 4: Simplify right side
    43,434.75x = 9,059,422,761
  5. Step 5: Solve for x
    x = 9,059,422,761/43,434.75
  6. Step 6: Final answer
    x = 208,575.46

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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.