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Finding the Third Proportional to 56,194.58 and 120,404.60

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Solution

The third proportional to 56,194.58 and 120,404.60 is: 257,983.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,194.58 : 120,404.60 = 120,404.60 : x
  2. Step 2: Convert to fraction form
    56,194.58/120,404.60 = 120,404.60/x
  3. Step 3: Cross multiply
    56,194.58x = 120,404.60 × 120,404.60
  4. Step 4: Simplify right side
    56,194.58x = 14,497,268,077.42
  5. Step 5: Solve for x
    x = 14,497,268,077.42/56,194.58
  6. Step 6: Final answer
    x = 257,983.38

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