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Finding the Third Proportional to 57,958.50 and 123,572.25

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Solution

The third proportional to 57,958.50 and 123,572.25 is: 263,466.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,958.50 : 123,572.25 = 123,572.25 : x
  2. Step 2: Convert to fraction form
    57,958.50/123,572.25 = 123,572.25/x
  3. Step 3: Cross multiply
    57,958.50x = 123,572.25 × 123,572.25
  4. Step 4: Simplify right side
    57,958.50x = 15,270,100,970.06
  5. Step 5: Solve for x
    x = 15,270,100,970.06/57,958.50
  6. Step 6: Final answer
    x = 263,466.12

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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.