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Finding the Third Proportional to 55,147.50 and 82,707.75

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Solution

The third proportional to 55,147.50 and 82,707.75 is: 124,041.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,147.50 : 82,707.75 = 82,707.75 : x
  2. Step 2: Convert to fraction form
    55,147.50/82,707.75 = 82,707.75/x
  3. Step 3: Cross multiply
    55,147.50x = 82,707.75 × 82,707.75
  4. Step 4: Simplify right side
    55,147.50x = 6,840,571,910.06
  5. Step 5: Solve for x
    x = 6,840,571,910.06/55,147.50
  6. Step 6: Final answer
    x = 124,041.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.