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Finding the Third Proportional to 115,704 and 173,085

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Solution

The third proportional to 115,704 and 173,085 is: 258,922.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,704 : 173,085 = 173,085 : x
  2. Step 2: Convert to fraction form
    115,704/173,085 = 173,085/x
  3. Step 3: Cross multiply
    115,704x = 173,085 × 173,085
  4. Step 4: Simplify right side
    115,704x = 29,958,417,225
  5. Step 5: Solve for x
    x = 29,958,417,225/115,704
  6. Step 6: Final answer
    x = 258,922.92

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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.