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Finding the Third Proportional to 56,785.22 and 82,533.94

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Solution

The third proportional to 56,785.22 and 82,533.94 is: 119,958.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,785.22 : 82,533.94 = 82,533.94 : x
  2. Step 2: Convert to fraction form
    56,785.22/82,533.94 = 82,533.94/x
  3. Step 3: Cross multiply
    56,785.22x = 82,533.94 × 82,533.94
  4. Step 4: Simplify right side
    56,785.22x = 6,811,850,839.25
  5. Step 5: Solve for x
    x = 6,811,850,839.25/56,785.22
  6. Step 6: Final answer
    x = 119,958.17

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.