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Finding the Third Proportional to 66,966.75 and 103,757.63

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Solution

The third proportional to 66,966.75 and 103,757.63 is: 160,761.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,966.75 : 103,757.63 = 103,757.63 : x
  2. Step 2: Convert to fraction form
    66,966.75/103,757.63 = 103,757.63/x
  3. Step 3: Cross multiply
    66,966.75x = 103,757.63 × 103,757.63
  4. Step 4: Simplify right side
    66,966.75x = 10,765,644,745.64
  5. Step 5: Solve for x
    x = 10,765,644,745.64/66,966.75
  6. Step 6: Final answer
    x = 160,761.05

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.