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Finding the Third Proportional to 106,555.50 and 177,567.75

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Solution

The third proportional to 106,555.50 and 177,567.75 is: 295,905.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,555.50 : 177,567.75 = 177,567.75 : x
  2. Step 2: Convert to fraction form
    106,555.50/177,567.75 = 177,567.75/x
  3. Step 3: Cross multiply
    106,555.50x = 177,567.75 × 177,567.75
  4. Step 4: Simplify right side
    106,555.50x = 31,530,305,840.06
  5. Step 5: Solve for x
    x = 31,530,305,840.06/106,555.50
  6. Step 6: Final answer
    x = 295,905.01

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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.