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Finding the Third Proportional to 111,993.88 and 173,407.75

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Solution

The third proportional to 111,993.88 and 173,407.75 is: 268,499.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,993.88 : 173,407.75 = 173,407.75 : x
  2. Step 2: Convert to fraction form
    111,993.88/173,407.75 = 173,407.75/x
  3. Step 3: Cross multiply
    111,993.88x = 173,407.75 × 173,407.75
  4. Step 4: Simplify right side
    111,993.88x = 30,070,247,760.06
  5. Step 5: Solve for x
    x = 30,070,247,760.06/111,993.88
  6. Step 6: Final answer
    x = 268,499.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.