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Finding the Third Proportional to 115,446 and 173,505

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Solution

The third proportional to 115,446 and 173,505 is: 260,762.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,446 : 173,505 = 173,505 : x
  2. Step 2: Convert to fraction form
    115,446/173,505 = 173,505/x
  3. Step 3: Cross multiply
    115,446x = 173,505 × 173,505
  4. Step 4: Simplify right side
    115,446x = 30,103,985,025
  5. Step 5: Solve for x
    x = 30,103,985,025/115,446
  6. Step 6: Final answer
    x = 260,762.48

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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.