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Finding the Third Proportional to 65,640.38 and 101,835.56

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Solution

The third proportional to 65,640.38 and 101,835.56 is: 157,989.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,640.38 : 101,835.56 = 101,835.56 : x
  2. Step 2: Convert to fraction form
    65,640.38/101,835.56 = 101,835.56/x
  3. Step 3: Cross multiply
    65,640.38x = 101,835.56 × 101,835.56
  4. Step 4: Simplify right side
    65,640.38x = 10,370,481,789.69
  5. Step 5: Solve for x
    x = 10,370,481,789.69/65,640.38
  6. Step 6: Final answer
    x = 157,989.37

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