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Finding the Third Proportional to 57,357.56 and 123,945.19

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Solution

The third proportional to 57,357.56 and 123,945.19 is: 267,835.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,357.56 : 123,945.19 = 123,945.19 : x
  2. Step 2: Convert to fraction form
    57,357.56/123,945.19 = 123,945.19/x
  3. Step 3: Cross multiply
    57,357.56x = 123,945.19 × 123,945.19
  4. Step 4: Simplify right side
    57,357.56x = 15,362,409,504.41
  5. Step 5: Solve for x
    x = 15,362,409,504.41/57,357.56
  6. Step 6: Final answer
    x = 267,835.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.