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Finding the Third Proportional to 76,794 and 116,265

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Solution

The third proportional to 76,794 and 116,265 is: 176,023.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,794 : 116,265 = 116,265 : x
  2. Step 2: Convert to fraction form
    76,794/116,265 = 116,265/x
  3. Step 3: Cross multiply
    76,794x = 116,265 × 116,265
  4. Step 4: Simplify right side
    76,794x = 13,517,550,225
  5. Step 5: Solve for x
    x = 13,517,550,225/76,794
  6. Step 6: Final answer
    x = 176,023.52

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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.