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Finding the Third Proportional to 53,785.69 and 118,189.13

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Solution

The third proportional to 53,785.69 and 118,189.13 is: 259,709.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,785.69 : 118,189.13 = 118,189.13 : x
  2. Step 2: Convert to fraction form
    53,785.69/118,189.13 = 118,189.13/x
  3. Step 3: Cross multiply
    53,785.69x = 118,189.13 × 118,189.13
  4. Step 4: Simplify right side
    53,785.69x = 13,968,669,268.27
  5. Step 5: Solve for x
    x = 13,968,669,268.27/53,785.69
  6. Step 6: Final answer
    x = 259,709.78

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.