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Finding the Third Proportional to 76,074 and 100,965

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Solution

The third proportional to 76,074 and 100,965 is: 134,000.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,074 : 100,965 = 100,965 : x
  2. Step 2: Convert to fraction form
    76,074/100,965 = 100,965/x
  3. Step 3: Cross multiply
    76,074x = 100,965 × 100,965
  4. Step 4: Simplify right side
    76,074x = 10,193,931,225
  5. Step 5: Solve for x
    x = 10,193,931,225/76,074
  6. Step 6: Final answer
    x = 134,000.20

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.