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Finding the Third Proportional to 103,382.06 and 159,606.56

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Solution

The third proportional to 103,382.06 and 159,606.56 is: 246,408.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,382.06 : 159,606.56 = 159,606.56 : x
  2. Step 2: Convert to fraction form
    103,382.06/159,606.56 = 159,606.56/x
  3. Step 3: Cross multiply
    103,382.06x = 159,606.56 × 159,606.56
  4. Step 4: Simplify right side
    103,382.06x = 25,474,254,793.07
  5. Step 5: Solve for x
    x = 25,474,254,793.07/103,382.06
  6. Step 6: Final answer
    x = 246,408.85

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.