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Finding the Third Proportional to 43,842 and 95,865

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Solution

The third proportional to 43,842 and 95,865 is: 209,618.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,842 : 95,865 = 95,865 : x
  2. Step 2: Convert to fraction form
    43,842/95,865 = 95,865/x
  3. Step 3: Cross multiply
    43,842x = 95,865 × 95,865
  4. Step 4: Simplify right side
    43,842x = 9,190,098,225
  5. Step 5: Solve for x
    x = 9,190,098,225/43,842
  6. Step 6: Final answer
    x = 209,618.59

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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.