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Finding the Third Proportional to 81,906.38 and 130,236.56

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Solution

The third proportional to 81,906.38 and 130,236.56 is: 207,084.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,906.38 : 130,236.56 = 130,236.56 : x
  2. Step 2: Convert to fraction form
    81,906.38/130,236.56 = 130,236.56/x
  3. Step 3: Cross multiply
    81,906.38x = 130,236.56 × 130,236.56
  4. Step 4: Simplify right side
    81,906.38x = 16,961,562,211.82
  5. Step 5: Solve for x
    x = 16,961,562,211.82/81,906.38
  6. Step 6: Final answer
    x = 207,084.76

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.