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Finding the Third Proportional to 56,255.44 and 120,043.88

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Solution

The third proportional to 56,255.44 and 120,043.88 is: 256,162.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,255.44 : 120,043.88 = 120,043.88 : x
  2. Step 2: Convert to fraction form
    56,255.44/120,043.88 = 120,043.88/x
  3. Step 3: Cross multiply
    56,255.44x = 120,043.88 × 120,043.88
  4. Step 4: Simplify right side
    56,255.44x = 14,410,531,925.02
  5. Step 5: Solve for x
    x = 14,410,531,925.02/56,255.44
  6. Step 6: Final answer
    x = 256,162.47

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.