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Finding the Third Proportional to 76,228.88 and 111,609.56

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Solution

The third proportional to 76,228.88 and 111,609.56 is: 163,411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,228.88 : 111,609.56 = 111,609.56 : x
  2. Step 2: Convert to fraction form
    76,228.88/111,609.56 = 111,609.56/x
  3. Step 3: Cross multiply
    76,228.88x = 111,609.56 × 111,609.56
  4. Step 4: Simplify right side
    76,228.88x = 12,456,694,441.44
  5. Step 5: Solve for x
    x = 12,456,694,441.44/76,228.88
  6. Step 6: Final answer
    x = 163,411.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.