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Finding the Third Proportional to 81,713 and 110,896

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Solution

The third proportional to 81,713 and 110,896 is: 150,501.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,713 : 110,896 = 110,896 : x
  2. Step 2: Convert to fraction form
    81,713/110,896 = 110,896/x
  3. Step 3: Cross multiply
    81,713x = 110,896 × 110,896
  4. Step 4: Simplify right side
    81,713x = 12,297,922,816
  5. Step 5: Solve for x
    x = 12,297,922,816/81,713
  6. Step 6: Final answer
    x = 150,501.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.