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Finding the Third Proportional to 83,634 and 131,175

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Solution

The third proportional to 83,634 and 131,175 is: 205,740.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,634 : 131,175 = 131,175 : x
  2. Step 2: Convert to fraction form
    83,634/131,175 = 131,175/x
  3. Step 3: Cross multiply
    83,634x = 131,175 × 131,175
  4. Step 4: Simplify right side
    83,634x = 17,206,880,625
  5. Step 5: Solve for x
    x = 17,206,880,625/83,634
  6. Step 6: Final answer
    x = 205,740.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.