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Finding the Third Proportional to 50,901.75 and 108,565.31

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Solution

The third proportional to 50,901.75 and 108,565.31 is: 231,552.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,901.75 : 108,565.31 = 108,565.31 : x
  2. Step 2: Convert to fraction form
    50,901.75/108,565.31 = 108,565.31/x
  3. Step 3: Cross multiply
    50,901.75x = 108,565.31 × 108,565.31
  4. Step 4: Simplify right side
    50,901.75x = 11,786,427,078.22
  5. Step 5: Solve for x
    x = 11,786,427,078.22/50,901.75
  6. Step 6: Final answer
    x = 231,552.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.