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Finding the Third Proportional to 83,525 and 173,962

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Solution

The third proportional to 83,525 and 173,962 is: 362,319.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,525 : 173,962 = 173,962 : x
  2. Step 2: Convert to fraction form
    83,525/173,962 = 173,962/x
  3. Step 3: Cross multiply
    83,525x = 173,962 × 173,962
  4. Step 4: Simplify right side
    83,525x = 30,262,777,444
  5. Step 5: Solve for x
    x = 30,262,777,444/83,525
  6. Step 6: Final answer
    x = 362,319.99

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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.