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Finding the Third Proportional to 57,190.50 and 125,451

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Solution

The third proportional to 57,190.50 and 125,451 is: 275,184.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,190.50 : 125,451 = 125,451 : x
  2. Step 2: Convert to fraction form
    57,190.50/125,451 = 125,451/x
  3. Step 3: Cross multiply
    57,190.50x = 125,451 × 125,451
  4. Step 4: Simplify right side
    57,190.50x = 15,737,953,401
  5. Step 5: Solve for x
    x = 15,737,953,401/57,190.50
  6. Step 6: Final answer
    x = 275,184.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.