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Finding the Third Proportional to 57,715.50 and 123,085.50

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Solution

The third proportional to 57,715.50 and 123,085.50 is: 262,495.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,715.50 : 123,085.50 = 123,085.50 : x
  2. Step 2: Convert to fraction form
    57,715.50/123,085.50 = 123,085.50/x
  3. Step 3: Cross multiply
    57,715.50x = 123,085.50 × 123,085.50
  4. Step 4: Simplify right side
    57,715.50x = 15,150,040,310.25
  5. Step 5: Solve for x
    x = 15,150,040,310.25/57,715.50
  6. Step 6: Final answer
    x = 262,495.18

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.