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Finding the Third Proportional to 82,365 and 168,612

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Solution

The third proportional to 82,365 and 168,612 is: 345,170.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,365 : 168,612 = 168,612 : x
  2. Step 2: Convert to fraction form
    82,365/168,612 = 168,612/x
  3. Step 3: Cross multiply
    82,365x = 168,612 × 168,612
  4. Step 4: Simplify right side
    82,365x = 28,430,006,544
  5. Step 5: Solve for x
    x = 28,430,006,544/82,365
  6. Step 6: Final answer
    x = 345,170.97

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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.