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Finding the Third Proportional to 83,180.25 and 127,983.38

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Solution

The third proportional to 83,180.25 and 127,983.38 is: 196,918.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,180.25 : 127,983.38 = 127,983.38 : x
  2. Step 2: Convert to fraction form
    83,180.25/127,983.38 = 127,983.38/x
  3. Step 3: Cross multiply
    83,180.25x = 127,983.38 × 127,983.38
  4. Step 4: Simplify right side
    83,180.25x = 16,379,744,276.39
  5. Step 5: Solve for x
    x = 16,379,744,276.39/83,180.25
  6. Step 6: Final answer
    x = 196,918.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.