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Finding the Third Proportional to 54,682.50 and 85,669.50

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Solution

The third proportional to 54,682.50 and 85,669.50 is: 134,215.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,682.50 : 85,669.50 = 85,669.50 : x
  2. Step 2: Convert to fraction form
    54,682.50/85,669.50 = 85,669.50/x
  3. Step 3: Cross multiply
    54,682.50x = 85,669.50 × 85,669.50
  4. Step 4: Simplify right side
    54,682.50x = 7,339,263,230.25
  5. Step 5: Solve for x
    x = 7,339,263,230.25/54,682.50
  6. Step 6: Final answer
    x = 134,215.94

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.