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Finding the Third Proportional to 128,776.50 and 171,942.75

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Solution

The third proportional to 128,776.50 and 171,942.75 is: 229,578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,776.50 : 171,942.75 = 171,942.75 : x
  2. Step 2: Convert to fraction form
    128,776.50/171,942.75 = 171,942.75/x
  3. Step 3: Cross multiply
    128,776.50x = 171,942.75 × 171,942.75
  4. Step 4: Simplify right side
    128,776.50x = 29,564,309,277.56
  5. Step 5: Solve for x
    x = 29,564,309,277.56/128,776.50
  6. Step 6: Final answer
    x = 229,578.45

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.