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Finding the Third Proportional to 138,586 and 193,085

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Solution

The third proportional to 138,586 and 193,085 is: 269,015.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,586 : 193,085 = 193,085 : x
  2. Step 2: Convert to fraction form
    138,586/193,085 = 193,085/x
  3. Step 3: Cross multiply
    138,586x = 193,085 × 193,085
  4. Step 4: Simplify right side
    138,586x = 37,281,817,225
  5. Step 5: Solve for x
    x = 37,281,817,225/138,586
  6. Step 6: Final answer
    x = 269,015.75

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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.