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Finding the Third Proportional to 55,163 and 116,806

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Solution

The third proportional to 55,163 and 116,806 is: 247,333.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,163 : 116,806 = 116,806 : x
  2. Step 2: Convert to fraction form
    55,163/116,806 = 116,806/x
  3. Step 3: Cross multiply
    55,163x = 116,806 × 116,806
  4. Step 4: Simplify right side
    55,163x = 13,643,641,636
  5. Step 5: Solve for x
    x = 13,643,641,636/55,163
  6. Step 6: Final answer
    x = 247,333.21

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.