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Finding the Third Proportional to 57,567.38 and 121,439.25

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Solution

The third proportional to 57,567.38 and 121,439.25 is: 256,177.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,567.38 : 121,439.25 = 121,439.25 : x
  2. Step 2: Convert to fraction form
    57,567.38/121,439.25 = 121,439.25/x
  3. Step 3: Cross multiply
    57,567.38x = 121,439.25 × 121,439.25
  4. Step 4: Simplify right side
    57,567.38x = 14,747,491,440.56
  5. Step 5: Solve for x
    x = 14,747,491,440.56/57,567.38
  6. Step 6: Final answer
    x = 256,177.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.