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Finding the Third Proportional to 115,976 and 173,690

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Solution

The third proportional to 115,976 and 173,690 is: 260,124.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,976 : 173,690 = 173,690 : x
  2. Step 2: Convert to fraction form
    115,976/173,690 = 173,690/x
  3. Step 3: Cross multiply
    115,976x = 173,690 × 173,690
  4. Step 4: Simplify right side
    115,976x = 30,168,216,100
  5. Step 5: Solve for x
    x = 30,168,216,100/115,976
  6. Step 6: Final answer
    x = 260,124.65

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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.