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Finding the Third Proportional to 101,589.19 and 160,995.09

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Solution

The third proportional to 101,589.19 and 160,995.09 is: 255,139.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,589.19 : 160,995.09 = 160,995.09 : x
  2. Step 2: Convert to fraction form
    101,589.19/160,995.09 = 160,995.09/x
  3. Step 3: Cross multiply
    101,589.19x = 160,995.09 × 160,995.09
  4. Step 4: Simplify right side
    101,589.19x = 25,919,420,211.57
  5. Step 5: Solve for x
    x = 25,919,420,211.57/101,589.19
  6. Step 6: Final answer
    x = 255,139.56

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.