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Finding the Third Proportional to 83,229 and 117,767

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Solution

The third proportional to 83,229 and 117,767 is: 166,637.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,229 : 117,767 = 117,767 : x
  2. Step 2: Convert to fraction form
    83,229/117,767 = 117,767/x
  3. Step 3: Cross multiply
    83,229x = 117,767 × 117,767
  4. Step 4: Simplify right side
    83,229x = 13,869,066,289
  5. Step 5: Solve for x
    x = 13,869,066,289/83,229
  6. Step 6: Final answer
    x = 166,637.43

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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.