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Finding the Third Proportional to 73,097.44 and 159,415.59

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Solution

The third proportional to 73,097.44 and 159,415.59 is: 347,663.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,097.44 : 159,415.59 = 159,415.59 : x
  2. Step 2: Convert to fraction form
    73,097.44/159,415.59 = 159,415.59/x
  3. Step 3: Cross multiply
    73,097.44x = 159,415.59 × 159,415.59
  4. Step 4: Simplify right side
    73,097.44x = 25,413,331,530.67
  5. Step 5: Solve for x
    x = 25,413,331,530.67/73,097.44
  6. Step 6: Final answer
    x = 347,663.78

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Why These Related Problems?

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