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Finding the Third Proportional to 54,785.81 and 117,894.38

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Solution

The third proportional to 54,785.81 and 117,894.38 is: 253,698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,785.81 : 117,894.38 = 117,894.38 : x
  2. Step 2: Convert to fraction form
    54,785.81/117,894.38 = 117,894.38/x
  3. Step 3: Cross multiply
    54,785.81x = 117,894.38 × 117,894.38
  4. Step 4: Simplify right side
    54,785.81x = 13,899,083,656.64
  5. Step 5: Solve for x
    x = 13,899,083,656.64/54,785.81
  6. Step 6: Final answer
    x = 253,698.59

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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.