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Finding the Third Proportional to 83,226 and 117,762

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Solution

The third proportional to 83,226 and 117,762 is: 166,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,226 : 117,762 = 117,762 : x
  2. Step 2: Convert to fraction form
    83,226/117,762 = 117,762/x
  3. Step 3: Cross multiply
    83,226x = 117,762 × 117,762
  4. Step 4: Simplify right side
    83,226x = 13,867,888,644
  5. Step 5: Solve for x
    x = 13,867,888,644/83,226
  6. Step 6: Final answer
    x = 166,629.28

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.