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Finding the Third Proportional to 56,197.50 and 120,393

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Solution

The third proportional to 56,197.50 and 120,393 is: 257,920.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,197.50 : 120,393 = 120,393 : x
  2. Step 2: Convert to fraction form
    56,197.50/120,393 = 120,393/x
  3. Step 3: Cross multiply
    56,197.50x = 120,393 × 120,393
  4. Step 4: Simplify right side
    56,197.50x = 14,494,474,449
  5. Step 5: Solve for x
    x = 14,494,474,449/56,197.50
  6. Step 6: Final answer
    x = 257,920.27

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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.