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Finding the Third Proportional to 115,789.50 and 175,932

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Solution

The third proportional to 115,789.50 and 175,932 is: 267,313.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,789.50 : 175,932 = 175,932 : x
  2. Step 2: Convert to fraction form
    115,789.50/175,932 = 175,932/x
  3. Step 3: Cross multiply
    115,789.50x = 175,932 × 175,932
  4. Step 4: Simplify right side
    115,789.50x = 30,952,068,624
  5. Step 5: Solve for x
    x = 30,952,068,624/115,789.50
  6. Step 6: Final answer
    x = 267,313.26

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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.