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Finding the Third Proportional to 43,620 and 95,176

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Solution

The third proportional to 43,620 and 95,176 is: 207,667.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,620 : 95,176 = 95,176 : x
  2. Step 2: Convert to fraction form
    43,620/95,176 = 95,176/x
  3. Step 3: Cross multiply
    43,620x = 95,176 × 95,176
  4. Step 4: Simplify right side
    43,620x = 9,058,470,976
  5. Step 5: Solve for x
    x = 9,058,470,976/43,620
  6. Step 6: Final answer
    x = 207,667.84

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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.