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Finding the Third Proportional to 115,670 and 177,879

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Solution

The third proportional to 115,670 and 177,879 is: 273,544.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,670 : 177,879 = 177,879 : x
  2. Step 2: Convert to fraction form
    115,670/177,879 = 177,879/x
  3. Step 3: Cross multiply
    115,670x = 177,879 × 177,879
  4. Step 4: Simplify right side
    115,670x = 31,640,938,641
  5. Step 5: Solve for x
    x = 31,640,938,641/115,670
  6. Step 6: Final answer
    x = 273,544.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.