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Finding the Third Proportional to 115,980 and 173,696

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Solution

The third proportional to 115,980 and 173,696 is: 260,133.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,980 : 173,696 = 173,696 : x
  2. Step 2: Convert to fraction form
    115,980/173,696 = 173,696/x
  3. Step 3: Cross multiply
    115,980x = 173,696 × 173,696
  4. Step 4: Simplify right side
    115,980x = 30,170,300,416
  5. Step 5: Solve for x
    x = 30,170,300,416/115,980
  6. Step 6: Final answer
    x = 260,133.65

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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.