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Finding the Third Proportional to 40,132 and 83,096

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Solution

The third proportional to 40,132 and 83,096 is: 172,055.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,132 : 83,096 = 83,096 : x
  2. Step 2: Convert to fraction form
    40,132/83,096 = 83,096/x
  3. Step 3: Cross multiply
    40,132x = 83,096 × 83,096
  4. Step 4: Simplify right side
    40,132x = 6,904,945,216
  5. Step 5: Solve for x
    x = 6,904,945,216/40,132
  6. Step 6: Final answer
    x = 172,055.85

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.