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Finding the Third Proportional to 73,745.50 and 160,886

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Solution

The third proportional to 73,745.50 and 160,886 is: 350,995.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,745.50 : 160,886 = 160,886 : x
  2. Step 2: Convert to fraction form
    73,745.50/160,886 = 160,886/x
  3. Step 3: Cross multiply
    73,745.50x = 160,886 × 160,886
  4. Step 4: Simplify right side
    73,745.50x = 25,884,304,996
  5. Step 5: Solve for x
    x = 25,884,304,996/73,745.50
  6. Step 6: Final answer
    x = 350,995.04

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.