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Finding the Third Proportional to 39,914 and 60,165

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Solution

The third proportional to 39,914 and 60,165 is: 90,690.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,914 : 60,165 = 60,165 : x
  2. Step 2: Convert to fraction form
    39,914/60,165 = 60,165/x
  3. Step 3: Cross multiply
    39,914x = 60,165 × 60,165
  4. Step 4: Simplify right side
    39,914x = 3,619,827,225
  5. Step 5: Solve for x
    x = 3,619,827,225/39,914
  6. Step 6: Final answer
    x = 90,690.67

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.