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Finding the Third Proportional to 51,785.58 and 113,451.89

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Solution

The third proportional to 51,785.58 and 113,451.89 is: 248,550.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,785.58 : 113,451.89 = 113,451.89 : x
  2. Step 2: Convert to fraction form
    51,785.58/113,451.89 = 113,451.89/x
  3. Step 3: Cross multiply
    51,785.58x = 113,451.89 × 113,451.89
  4. Step 4: Simplify right side
    51,785.58x = 12,871,331,486.39
  5. Step 5: Solve for x
    x = 12,871,331,486.39/51,785.58
  6. Step 6: Final answer
    x = 248,550.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.