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Finding the Third Proportional to 76,205.25 and 113,205.75

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Solution

The third proportional to 76,205.25 and 113,205.75 is: 168,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,205.25 : 113,205.75 = 113,205.75 : x
  2. Step 2: Convert to fraction form
    76,205.25/113,205.75 = 113,205.75/x
  3. Step 3: Cross multiply
    76,205.25x = 113,205.75 × 113,205.75
  4. Step 4: Simplify right side
    76,205.25x = 12,815,541,833.06
  5. Step 5: Solve for x
    x = 12,815,541,833.06/76,205.25
  6. Step 6: Final answer
    x = 168,171.38

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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.