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Finding the Third Proportional to 115,169 and 177,674

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Solution

The third proportional to 115,169 and 177,674 is: 274,101.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,169 : 177,674 = 177,674 : x
  2. Step 2: Convert to fraction form
    115,169/177,674 = 177,674/x
  3. Step 3: Cross multiply
    115,169x = 177,674 × 177,674
  4. Step 4: Simplify right side
    115,169x = 31,568,050,276
  5. Step 5: Solve for x
    x = 31,568,050,276/115,169
  6. Step 6: Final answer
    x = 274,101.97

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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.