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Finding the Third Proportional to 55,149.19 and 82,500.19

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Solution

The third proportional to 55,149.19 and 82,500.19 is: 123,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,149.19 : 82,500.19 = 82,500.19 : x
  2. Step 2: Convert to fraction form
    55,149.19/82,500.19 = 82,500.19/x
  3. Step 3: Cross multiply
    55,149.19x = 82,500.19 × 82,500.19
  4. Step 4: Simplify right side
    55,149.19x = 6,806,280,937.54
  5. Step 5: Solve for x
    x = 6,806,280,937.54/55,149.19
  6. Step 6: Final answer
    x = 123,415.80

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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.