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Finding the Third Proportional to 76,932 and 116,427

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Solution

The third proportional to 76,932 and 116,427 is: 176,197.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,932 : 116,427 = 116,427 : x
  2. Step 2: Convert to fraction form
    76,932/116,427 = 116,427/x
  3. Step 3: Cross multiply
    76,932x = 116,427 × 116,427
  4. Step 4: Simplify right side
    76,932x = 13,555,246,329
  5. Step 5: Solve for x
    x = 13,555,246,329/76,932
  6. Step 6: Final answer
    x = 176,197.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.