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Finding the Third Proportional to 72,775.97 and 159,129.56

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Solution

The third proportional to 72,775.97 and 159,129.56 is: 347,947.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,775.97 : 159,129.56 = 159,129.56 : x
  2. Step 2: Convert to fraction form
    72,775.97/159,129.56 = 159,129.56/x
  3. Step 3: Cross multiply
    72,775.97x = 159,129.56 × 159,129.56
  4. Step 4: Simplify right side
    72,775.97x = 25,322,217,661.44
  5. Step 5: Solve for x
    x = 25,322,217,661.44/72,775.97
  6. Step 6: Final answer
    x = 347,947.52

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.