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Finding the Third Proportional to 76,926 and 161,626

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Solution

The third proportional to 76,926 and 161,626 is: 339,585.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,926 : 161,626 = 161,626 : x
  2. Step 2: Convert to fraction form
    76,926/161,626 = 161,626/x
  3. Step 3: Cross multiply
    76,926x = 161,626 × 161,626
  4. Step 4: Simplify right side
    76,926x = 26,122,963,876
  5. Step 5: Solve for x
    x = 26,122,963,876/76,926
  6. Step 6: Final answer
    x = 339,585.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.