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Finding the Third Proportional to 138,584.25 and 193,082.63

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Solution

The third proportional to 138,584.25 and 193,082.63 is: 269,012.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,584.25 : 193,082.63 = 193,082.63 : x
  2. Step 2: Convert to fraction form
    138,584.25/193,082.63 = 193,082.63/x
  3. Step 3: Cross multiply
    138,584.25x = 193,082.63 × 193,082.63
  4. Step 4: Simplify right side
    138,584.25x = 37,280,900,076.89
  5. Step 5: Solve for x
    x = 37,280,900,076.89/138,584.25
  6. Step 6: Final answer
    x = 269,012.53

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.