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Finding the Third Proportional to 67,742.25 and 95,311.88

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Solution

The third proportional to 67,742.25 and 95,311.88 is: 134,101.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,742.25 : 95,311.88 = 95,311.88 : x
  2. Step 2: Convert to fraction form
    67,742.25/95,311.88 = 95,311.88/x
  3. Step 3: Cross multiply
    67,742.25x = 95,311.88 × 95,311.88
  4. Step 4: Simplify right side
    67,742.25x = 9,084,353,516.02
  5. Step 5: Solve for x
    x = 9,084,353,516.02/67,742.25
  6. Step 6: Final answer
    x = 134,101.74

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.