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Finding the Third Proportional to 56,027.25 and 120,550.50

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Solution

The third proportional to 56,027.25 and 120,550.50 is: 259,381.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,027.25 : 120,550.50 = 120,550.50 : x
  2. Step 2: Convert to fraction form
    56,027.25/120,550.50 = 120,550.50/x
  3. Step 3: Cross multiply
    56,027.25x = 120,550.50 × 120,550.50
  4. Step 4: Simplify right side
    56,027.25x = 14,532,423,050.25
  5. Step 5: Solve for x
    x = 14,532,423,050.25/56,027.25
  6. Step 6: Final answer
    x = 259,381.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.