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Finding the Third Proportional to 57,414.94 and 86,179.50

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Solution

The third proportional to 57,414.94 and 86,179.50 is: 129,354.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,414.94 : 86,179.50 = 86,179.50 : x
  2. Step 2: Convert to fraction form
    57,414.94/86,179.50 = 86,179.50/x
  3. Step 3: Cross multiply
    57,414.94x = 86,179.50 × 86,179.50
  4. Step 4: Simplify right side
    57,414.94x = 7,426,906,220.25
  5. Step 5: Solve for x
    x = 7,426,906,220.25/57,414.94
  6. Step 6: Final answer
    x = 129,354.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.