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Finding the Third Proportional to 58,234.50 and 124,872.75

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Solution

The third proportional to 58,234.50 and 124,872.75 is: 267,765.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,234.50 : 124,872.75 = 124,872.75 : x
  2. Step 2: Convert to fraction form
    58,234.50/124,872.75 = 124,872.75/x
  3. Step 3: Cross multiply
    58,234.50x = 124,872.75 × 124,872.75
  4. Step 4: Simplify right side
    58,234.50x = 15,593,203,692.56
  5. Step 5: Solve for x
    x = 15,593,203,692.56/58,234.50
  6. Step 6: Final answer
    x = 267,765.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.