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Finding the Third Proportional to 76,107.94 and 108,180.56

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Solution

The third proportional to 76,107.94 and 108,180.56 is: 153,768.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,107.94 : 108,180.56 = 108,180.56 : x
  2. Step 2: Convert to fraction form
    76,107.94/108,180.56 = 108,180.56/x
  3. Step 3: Cross multiply
    76,107.94x = 108,180.56 × 108,180.56
  4. Step 4: Simplify right side
    76,107.94x = 11,703,034,102.82
  5. Step 5: Solve for x
    x = 11,703,034,102.82/76,107.94
  6. Step 6: Final answer
    x = 153,768.90

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.