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Finding the Third Proportional to 138,696 and 209,025

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Solution

The third proportional to 138,696 and 209,025 is: 315,015.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,696 : 209,025 = 209,025 : x
  2. Step 2: Convert to fraction form
    138,696/209,025 = 209,025/x
  3. Step 3: Cross multiply
    138,696x = 209,025 × 209,025
  4. Step 4: Simplify right side
    138,696x = 43,691,450,625
  5. Step 5: Solve for x
    x = 43,691,450,625/138,696
  6. Step 6: Final answer
    x = 315,015.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.