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Finding the Third Proportional to 76,500 and 116,941

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Solution

The third proportional to 76,500 and 116,941 is: 178,760.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,500 : 116,941 = 116,941 : x
  2. Step 2: Convert to fraction form
    76,500/116,941 = 116,941/x
  3. Step 3: Cross multiply
    76,500x = 116,941 × 116,941
  4. Step 4: Simplify right side
    76,500x = 13,675,197,481
  5. Step 5: Solve for x
    x = 13,675,197,481/76,500
  6. Step 6: Final answer
    x = 178,760.75

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.