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Finding the Third Proportional to 73,856 and 160,176

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Solution

The third proportional to 73,856 and 160,176 is: 347,383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,856 : 160,176 = 160,176 : x
  2. Step 2: Convert to fraction form
    73,856/160,176 = 160,176/x
  3. Step 3: Cross multiply
    73,856x = 160,176 × 160,176
  4. Step 4: Simplify right side
    73,856x = 25,656,350,976
  5. Step 5: Solve for x
    x = 25,656,350,976/73,856
  6. Step 6: Final answer
    x = 347,383.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.