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Finding the Third Proportional to 43,664 and 81,199

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Solution

The third proportional to 43,664 and 81,199 is: 151,000.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,664 : 81,199 = 81,199 : x
  2. Step 2: Convert to fraction form
    43,664/81,199 = 81,199/x
  3. Step 3: Cross multiply
    43,664x = 81,199 × 81,199
  4. Step 4: Simplify right side
    43,664x = 6,593,277,601
  5. Step 5: Solve for x
    x = 6,593,277,601/43,664
  6. Step 6: Final answer
    x = 151,000.31

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.