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Finding the Third Proportional to 72,610.31 and 158,138.72

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Solution

The third proportional to 72,610.31 and 158,138.72 is: 344,411.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,610.31 : 158,138.72 = 158,138.72 : x
  2. Step 2: Convert to fraction form
    72,610.31/158,138.72 = 158,138.72/x
  3. Step 3: Cross multiply
    72,610.31x = 158,138.72 × 158,138.72
  4. Step 4: Simplify right side
    72,610.31x = 25,007,854,367.89
  5. Step 5: Solve for x
    x = 25,007,854,367.89/72,610.31
  6. Step 6: Final answer
    x = 344,411.88

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.