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Finding the Third Proportional to 82,160 and 168,205

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Solution

The third proportional to 82,160 and 168,205 is: 344,363.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,160 : 168,205 = 168,205 : x
  2. Step 2: Convert to fraction form
    82,160/168,205 = 168,205/x
  3. Step 3: Cross multiply
    82,160x = 168,205 × 168,205
  4. Step 4: Simplify right side
    82,160x = 28,292,922,025
  5. Step 5: Solve for x
    x = 28,292,922,025/82,160
  6. Step 6: Final answer
    x = 344,363.71

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.