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Finding the Third Proportional to 54,231.19 and 116,785.13

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Solution

The third proportional to 54,231.19 and 116,785.13 is: 251,493.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,231.19 : 116,785.13 = 116,785.13 : x
  2. Step 2: Convert to fraction form
    54,231.19/116,785.13 = 116,785.13/x
  3. Step 3: Cross multiply
    54,231.19x = 116,785.13 × 116,785.13
  4. Step 4: Simplify right side
    54,231.19x = 13,638,765,421.27
  5. Step 5: Solve for x
    x = 13,638,765,421.27/54,231.19
  6. Step 6: Final answer
    x = 251,493.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.