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Finding the Third Proportional to 76,204 and 113,201.75

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Solution

The third proportional to 76,204 and 113,201.75 is: 168,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,204 : 113,201.75 = 113,201.75 : x
  2. Step 2: Convert to fraction form
    76,204/113,201.75 = 113,201.75/x
  3. Step 3: Cross multiply
    76,204x = 113,201.75 × 113,201.75
  4. Step 4: Simplify right side
    76,204x = 12,814,636,203.06
  5. Step 5: Solve for x
    x = 12,814,636,203.06/76,204
  6. Step 6: Final answer
    x = 168,162.25

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.