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Finding the Third Proportional to 81,035 and 168,567

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Solution

The third proportional to 81,035 and 168,567 is: 350,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,035 : 168,567 = 168,567 : x
  2. Step 2: Convert to fraction form
    81,035/168,567 = 168,567/x
  3. Step 3: Cross multiply
    81,035x = 168,567 × 168,567
  4. Step 4: Simplify right side
    81,035x = 28,414,833,489
  5. Step 5: Solve for x
    x = 28,414,833,489/81,035
  6. Step 6: Final answer
    x = 350,648.90

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.