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Finding the Third Proportional to 83,555 and 173,996

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Solution

The third proportional to 83,555 and 173,996 is: 362,331.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,555 : 173,996 = 173,996 : x
  2. Step 2: Convert to fraction form
    83,555/173,996 = 173,996/x
  3. Step 3: Cross multiply
    83,555x = 173,996 × 173,996
  4. Step 4: Simplify right side
    83,555x = 30,274,608,016
  5. Step 5: Solve for x
    x = 30,274,608,016/83,555
  6. Step 6: Final answer
    x = 362,331.49

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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.