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Finding the Third Proportional to 43,432 and 95,177

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Solution

The third proportional to 43,432 and 95,177 is: 208,571.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,432 : 95,177 = 95,177 : x
  2. Step 2: Convert to fraction form
    43,432/95,177 = 95,177/x
  3. Step 3: Cross multiply
    43,432x = 95,177 × 95,177
  4. Step 4: Simplify right side
    43,432x = 9,058,661,329
  5. Step 5: Solve for x
    x = 9,058,661,329/43,432
  6. Step 6: Final answer
    x = 208,571.13

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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.