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Finding the Third Proportional to 115,805 and 173,708

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Solution

The third proportional to 115,805 and 173,708 is: 260,562.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,805 : 173,708 = 173,708 : x
  2. Step 2: Convert to fraction form
    115,805/173,708 = 173,708/x
  3. Step 3: Cross multiply
    115,805x = 173,708 × 173,708
  4. Step 4: Simplify right side
    115,805x = 30,174,469,264
  5. Step 5: Solve for x
    x = 30,174,469,264/115,805
  6. Step 6: Final answer
    x = 260,562.75

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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.