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Finding the Third Proportional to 57,522.75 and 123,041.75

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Solution

The third proportional to 57,522.75 and 123,041.75 is: 263,187.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,522.75 : 123,041.75 = 123,041.75 : x
  2. Step 2: Convert to fraction form
    57,522.75/123,041.75 = 123,041.75/x
  3. Step 3: Cross multiply
    57,522.75x = 123,041.75 × 123,041.75
  4. Step 4: Simplify right side
    57,522.75x = 15,139,272,243.06
  5. Step 5: Solve for x
    x = 15,139,272,243.06/57,522.75
  6. Step 6: Final answer
    x = 263,187.56

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.