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Finding the Third Proportional to 82,102 and 179,635

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Solution

The third proportional to 82,102 and 179,635 is: 393,032.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,102 : 179,635 = 179,635 : x
  2. Step 2: Convert to fraction form
    82,102/179,635 = 179,635/x
  3. Step 3: Cross multiply
    82,102x = 179,635 × 179,635
  4. Step 4: Simplify right side
    82,102x = 32,268,733,225
  5. Step 5: Solve for x
    x = 32,268,733,225/82,102
  6. Step 6: Final answer
    x = 393,032.24

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.