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Finding the Third Proportional to 115,150.50 and 175,512

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Solution

The third proportional to 115,150.50 and 175,512 is: 267,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,150.50 : 175,512 = 175,512 : x
  2. Step 2: Convert to fraction form
    115,150.50/175,512 = 175,512/x
  3. Step 3: Cross multiply
    115,150.50x = 175,512 × 175,512
  4. Step 4: Simplify right side
    115,150.50x = 30,804,462,144
  5. Step 5: Solve for x
    x = 30,804,462,144/115,150.50
  6. Step 6: Final answer
    x = 267,514.79

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.