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Finding the Third Proportional to 76,983 and 160,086

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Solution

The third proportional to 76,983 and 160,086 is: 332,898.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,983 : 160,086 = 160,086 : x
  2. Step 2: Convert to fraction form
    76,983/160,086 = 160,086/x
  3. Step 3: Cross multiply
    76,983x = 160,086 × 160,086
  4. Step 4: Simplify right side
    76,983x = 25,627,527,396
  5. Step 5: Solve for x
    x = 25,627,527,396/76,983
  6. Step 6: Final answer
    x = 332,898.53

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.