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Finding the Third Proportional to 83,164 and 182,425

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Solution

The third proportional to 83,164 and 182,425 is: 400,159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,164 : 182,425 = 182,425 : x
  2. Step 2: Convert to fraction form
    83,164/182,425 = 182,425/x
  3. Step 3: Cross multiply
    83,164x = 182,425 × 182,425
  4. Step 4: Simplify right side
    83,164x = 33,278,880,625
  5. Step 5: Solve for x
    x = 33,278,880,625/83,164
  6. Step 6: Final answer
    x = 400,159.69

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.