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Finding the Third Proportional to 54,684.75 and 85,672.50

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Solution

The third proportional to 54,684.75 and 85,672.50 is: 134,219.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,684.75 : 85,672.50 = 85,672.50 : x
  2. Step 2: Convert to fraction form
    54,684.75/85,672.50 = 85,672.50/x
  3. Step 3: Cross multiply
    54,684.75x = 85,672.50 × 85,672.50
  4. Step 4: Simplify right side
    54,684.75x = 7,339,777,256.25
  5. Step 5: Solve for x
    x = 7,339,777,256.25/54,684.75
  6. Step 6: Final answer
    x = 134,219.82

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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.