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Finding the Third Proportional to 32,660 and 68,158

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Solution

The third proportional to 32,660 and 68,158 is: 142,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,660 : 68,158 = 68,158 : x
  2. Step 2: Convert to fraction form
    32,660/68,158 = 68,158/x
  3. Step 3: Cross multiply
    32,660x = 68,158 × 68,158
  4. Step 4: Simplify right side
    32,660x = 4,645,512,964
  5. Step 5: Solve for x
    x = 4,645,512,964/32,660
  6. Step 6: Final answer
    x = 142,238.61

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.