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Finding the Third Proportional to 83,224.13 and 117,759.66

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Solution

The third proportional to 83,224.13 and 117,759.66 is: 166,626.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,224.13 : 117,759.66 = 117,759.66 : x
  2. Step 2: Convert to fraction form
    83,224.13/117,759.66 = 117,759.66/x
  3. Step 3: Cross multiply
    83,224.13x = 117,759.66 × 117,759.66
  4. Step 4: Simplify right side
    83,224.13x = 13,867,336,640.12
  5. Step 5: Solve for x
    x = 13,867,336,640.12/83,224.13
  6. Step 6: Final answer
    x = 166,626.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.