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Finding the Third Proportional to 111,118.13 and 176,519.25

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Solution

The third proportional to 111,118.13 and 176,519.25 is: 280,413.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,118.13 : 176,519.25 = 176,519.25 : x
  2. Step 2: Convert to fraction form
    111,118.13/176,519.25 = 176,519.25/x
  3. Step 3: Cross multiply
    111,118.13x = 176,519.25 × 176,519.25
  4. Step 4: Simplify right side
    111,118.13x = 31,159,045,620.56
  5. Step 5: Solve for x
    x = 31,159,045,620.56/111,118.13
  6. Step 6: Final answer
    x = 280,413.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.