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Finding the Third Proportional to 131,696 and 203,976

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Solution

The third proportional to 131,696 and 203,976 is: 315,926.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,696 : 203,976 = 203,976 : x
  2. Step 2: Convert to fraction form
    131,696/203,976 = 203,976/x
  3. Step 3: Cross multiply
    131,696x = 203,976 × 203,976
  4. Step 4: Simplify right side
    131,696x = 41,606,208,576
  5. Step 5: Solve for x
    x = 41,606,208,576/131,696
  6. Step 6: Final answer
    x = 315,926.14

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.