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Finding the Third Proportional to 115,780.50 and 173,184.75

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Solution

The third proportional to 115,780.50 and 173,184.75 is: 259,050.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,780.50 : 173,184.75 = 173,184.75 : x
  2. Step 2: Convert to fraction form
    115,780.50/173,184.75 = 173,184.75/x
  3. Step 3: Cross multiply
    115,780.50x = 173,184.75 × 173,184.75
  4. Step 4: Simplify right side
    115,780.50x = 29,992,957,632.56
  5. Step 5: Solve for x
    x = 29,992,957,632.56/115,780.50
  6. Step 6: Final answer
    x = 259,050.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.