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Finding the Third Proportional to 55,707.75 and 116,920.97

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Solution

The third proportional to 55,707.75 and 116,920.97 is: 245,396.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,707.75 : 116,920.97 = 116,920.97 : x
  2. Step 2: Convert to fraction form
    55,707.75/116,920.97 = 116,920.97/x
  3. Step 3: Cross multiply
    55,707.75x = 116,920.97 × 116,920.97
  4. Step 4: Simplify right side
    55,707.75x = 13,670,512,933.44
  5. Step 5: Solve for x
    x = 13,670,512,933.44/55,707.75
  6. Step 6: Final answer
    x = 245,396.97

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.