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Finding the Third Proportional to 65,338.88 and 92,013.75

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Solution

The third proportional to 65,338.88 and 92,013.75 is: 129,578.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,338.88 : 92,013.75 = 92,013.75 : x
  2. Step 2: Convert to fraction form
    65,338.88/92,013.75 = 92,013.75/x
  3. Step 3: Cross multiply
    65,338.88x = 92,013.75 × 92,013.75
  4. Step 4: Simplify right side
    65,338.88x = 8,466,530,189.06
  5. Step 5: Solve for x
    x = 8,466,530,189.06/65,338.88
  6. Step 6: Final answer
    x = 129,578.76

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.