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Finding the Third Proportional to 83,675 and 183,935

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Solution

The third proportional to 83,675 and 183,935 is: 404,327.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,675 : 183,935 = 183,935 : x
  2. Step 2: Convert to fraction form
    83,675/183,935 = 183,935/x
  3. Step 3: Cross multiply
    83,675x = 183,935 × 183,935
  4. Step 4: Simplify right side
    83,675x = 33,832,084,225
  5. Step 5: Solve for x
    x = 33,832,084,225/83,675
  6. Step 6: Final answer
    x = 404,327.27

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.