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Finding the Third Proportional to 65,199 and 96,615

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Solution

The third proportional to 65,199 and 96,615 is: 143,168.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,199 : 96,615 = 96,615 : x
  2. Step 2: Convert to fraction form
    65,199/96,615 = 96,615/x
  3. Step 3: Cross multiply
    65,199x = 96,615 × 96,615
  4. Step 4: Simplify right side
    65,199x = 9,334,458,225
  5. Step 5: Solve for x
    x = 9,334,458,225/65,199
  6. Step 6: Final answer
    x = 143,168.73

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.