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Finding the Third Proportional to 106,558.88 and 177,572.81

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Solution

The third proportional to 106,558.88 and 177,572.81 is: 295,912.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,558.88 : 177,572.81 = 177,572.81 : x
  2. Step 2: Convert to fraction form
    106,558.88/177,572.81 = 177,572.81/x
  3. Step 3: Cross multiply
    106,558.88x = 177,572.81 × 177,572.81
  4. Step 4: Simplify right side
    106,558.88x = 31,532,103,739.16
  5. Step 5: Solve for x
    x = 31,532,103,739.16/106,558.88
  6. Step 6: Final answer
    x = 295,912.51

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.