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Finding the Third Proportional to 65,791.50 and 159,085.50

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Solution

The third proportional to 65,791.50 and 159,085.50 is: 384,672.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,791.50 : 159,085.50 = 159,085.50 : x
  2. Step 2: Convert to fraction form
    65,791.50/159,085.50 = 159,085.50/x
  3. Step 3: Cross multiply
    65,791.50x = 159,085.50 × 159,085.50
  4. Step 4: Simplify right side
    65,791.50x = 25,308,196,310.25
  5. Step 5: Solve for x
    x = 25,308,196,310.25/65,791.50
  6. Step 6: Final answer
    x = 384,672.74

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These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.