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Finding the Third Proportional to 57,132.75 and 123,800.25

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Solution

The third proportional to 57,132.75 and 123,800.25 is: 268,261.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,132.75 : 123,800.25 = 123,800.25 : x
  2. Step 2: Convert to fraction form
    57,132.75/123,800.25 = 123,800.25/x
  3. Step 3: Cross multiply
    57,132.75x = 123,800.25 × 123,800.25
  4. Step 4: Simplify right side
    57,132.75x = 15,326,501,900.06
  5. Step 5: Solve for x
    x = 15,326,501,900.06/57,132.75
  6. Step 6: Final answer
    x = 268,261.23

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.