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Finding the Third Proportional to 38,163 and 81,969

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Solution

The third proportional to 38,163 and 81,969 is: 176,058.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,163 : 81,969 = 81,969 : x
  2. Step 2: Convert to fraction form
    38,163/81,969 = 81,969/x
  3. Step 3: Cross multiply
    38,163x = 81,969 × 81,969
  4. Step 4: Simplify right side
    38,163x = 6,718,916,961
  5. Step 5: Solve for x
    x = 6,718,916,961/38,163
  6. Step 6: Final answer
    x = 176,058.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.