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Finding the Third Proportional to 73,917 and 161,775.56

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Solution

The third proportional to 73,917 and 161,775.56 is: 354,063.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,917 : 161,775.56 = 161,775.56 : x
  2. Step 2: Convert to fraction form
    73,917/161,775.56 = 161,775.56/x
  3. Step 3: Cross multiply
    73,917x = 161,775.56 × 161,775.56
  4. Step 4: Simplify right side
    73,917x = 26,171,332,622.19
  5. Step 5: Solve for x
    x = 26,171,332,622.19/73,917
  6. Step 6: Final answer
    x = 354,063.78

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Why These Related Problems?

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