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Finding the Third Proportional to 115,982 and 173,699

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Solution

The third proportional to 115,982 and 173,699 is: 260,138.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,982 : 173,699 = 173,699 : x
  2. Step 2: Convert to fraction form
    115,982/173,699 = 173,699/x
  3. Step 3: Cross multiply
    115,982x = 173,699 × 173,699
  4. Step 4: Simplify right side
    115,982x = 30,171,342,601
  5. Step 5: Solve for x
    x = 30,171,342,601/115,982
  6. Step 6: Final answer
    x = 260,138.15

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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.