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Finding the Third Proportional to 67,965.50 and 158,017

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Solution

The third proportional to 67,965.50 and 158,017 is: 367,383.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,965.50 : 158,017 = 158,017 : x
  2. Step 2: Convert to fraction form
    67,965.50/158,017 = 158,017/x
  3. Step 3: Cross multiply
    67,965.50x = 158,017 × 158,017
  4. Step 4: Simplify right side
    67,965.50x = 24,969,372,289
  5. Step 5: Solve for x
    x = 24,969,372,289/67,965.50
  6. Step 6: Final answer
    x = 367,383.04

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.