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Finding the Third Proportional to 111,265.50 and 170,786.25

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Solution

The third proportional to 111,265.50 and 170,786.25 is: 262,147.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,265.50 : 170,786.25 = 170,786.25 : x
  2. Step 2: Convert to fraction form
    111,265.50/170,786.25 = 170,786.25/x
  3. Step 3: Cross multiply
    111,265.50x = 170,786.25 × 170,786.25
  4. Step 4: Simplify right side
    111,265.50x = 29,167,943,189.06
  5. Step 5: Solve for x
    x = 29,167,943,189.06/111,265.50
  6. Step 6: Final answer
    x = 262,147.24

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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.