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Finding the Third Proportional to 115,161.75 and 176,388.75

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Solution

The third proportional to 115,161.75 and 176,388.75 is: 270,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,161.75 : 176,388.75 = 176,388.75 : x
  2. Step 2: Convert to fraction form
    115,161.75/176,388.75 = 176,388.75/x
  3. Step 3: Cross multiply
    115,161.75x = 176,388.75 × 176,388.75
  4. Step 4: Simplify right side
    115,161.75x = 31,112,991,126.56
  5. Step 5: Solve for x
    x = 31,112,991,126.56/115,161.75
  6. Step 6: Final answer
    x = 270,167.75

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.