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Finding the Third Proportional to 115,169.25 and 177,674.25

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Solution

The third proportional to 115,169.25 and 177,674.25 is: 274,102.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,169.25 : 177,674.25 = 177,674.25 : x
  2. Step 2: Convert to fraction form
    115,169.25/177,674.25 = 177,674.25/x
  3. Step 3: Cross multiply
    115,169.25x = 177,674.25 × 177,674.25
  4. Step 4: Simplify right side
    115,169.25x = 31,568,139,113.06
  5. Step 5: Solve for x
    x = 31,568,139,113.06/115,169.25
  6. Step 6: Final answer
    x = 274,102.15

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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.