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Finding the Third Proportional to 36,106 and 86,976

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Solution

The third proportional to 36,106 and 86,976 is: 209,517.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,106 : 86,976 = 86,976 : x
  2. Step 2: Convert to fraction form
    36,106/86,976 = 86,976/x
  3. Step 3: Cross multiply
    36,106x = 86,976 × 86,976
  4. Step 4: Simplify right side
    36,106x = 7,564,824,576
  5. Step 5: Solve for x
    x = 7,564,824,576/36,106
  6. Step 6: Final answer
    x = 209,517.10

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.