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Finding the Third Proportional to 81,767 and 115,954

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Solution

The third proportional to 81,767 and 115,954 is: 164,434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,767 : 115,954 = 115,954 : x
  2. Step 2: Convert to fraction form
    81,767/115,954 = 115,954/x
  3. Step 3: Cross multiply
    81,767x = 115,954 × 115,954
  4. Step 4: Simplify right side
    81,767x = 13,445,330,116
  5. Step 5: Solve for x
    x = 13,445,330,116/81,767
  6. Step 6: Final answer
    x = 164,434.68

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.