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Finding the Third Proportional to 67,661 and 96,168.50

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Solution

The third proportional to 67,661 and 96,168.50 is: 136,687.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,661 : 96,168.50 = 96,168.50 : x
  2. Step 2: Convert to fraction form
    67,661/96,168.50 = 96,168.50/x
  3. Step 3: Cross multiply
    67,661x = 96,168.50 × 96,168.50
  4. Step 4: Simplify right side
    67,661x = 9,248,380,392.25
  5. Step 5: Solve for x
    x = 9,248,380,392.25/67,661
  6. Step 6: Final answer
    x = 136,687.02

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.